Real life circle objects

14 Circle Examples in Real Life – StudiousGuy

A circle is the 2-dimensional plane geometric figure formed by joining an infinite number of points that are equidistant from a fixed point. Here, the fixed point is known as the centre of the circle, while the distance between the boundary points and the centre is known as the radius. The area of the circle is pi times the square of its radius. The perimeter of the circle is known as the circumference, which is given as pi times the diameter.

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The fixed point situated in the middle of the circle is known as the centre.

The fixed distance from the centre to the outer boundary of the circle is known as radius.

The line that joins the two boundary points of a circle and passes through the centre is known as the diameter. The diameter is twice the magnitude of the radius of a circle.

The line joining the two points present on the boundary of the circle is known as an arc. The shorter distance between the two points signifies the minor arc, whereas the larger distance represents the major arc.

A straight line segment joining the two points lying on the boundary of the circle is known as a chord.

The area formed by joining the endpoints of the arc to the centre is known as a sector. The smaller area formed between the arc and the two radii is known as the minor sector, whereas the larger area formed is known as the major sector.

The area formed by joining the endpoints of an arc with the help of a chord is known as a segment. The larger area enclosed between the chord and the arc is known as the major segment, while the smaller area represents the minor segment.

A line touching the two boundary points of a circle is known as a secant.

A line touching the circle at one point is known as a tangent.

Most of the dishes used to serve food are circular in shape. Hence, a dish or a plate is the most common example of the circular shaped objects used in everyday life.

The wings of a fan are connected to a hub. If you observe the structure of the hub, you can easily observe the circle geometric figure.

A number of ornaments that we wear are circular in shape. For instance, rings, bracelets, earrings, bangles, etc., all constitute a perfect example of circle-shaped objects.

The tyres of a vehicle are yet another example of the circle-shaped objects used in day to day life.

The coins possess a perfectly round and circular structure. Hence, they are a prominent example of circle geometric shape present in real life.

A hula hoop is a toy that is swirled by a person around his/her waist, arms, or limbs for amusement and fitness purposes. The circle shape of the hula hoop can be very easily observed.

A vinyl record or a gramophone record is a disc that consists of modulated groovings. It is used to store and play audio information. A vinyl record is round in shape. Hence, it is one of the best examples of circular shaped objects used in real life.

Cookies, cakes, doughnuts, pancakes, pizzas, and many other eatables are circular in shape. So next time when you grab a bite of any such food items, get yourself reminded of the definition and terms related to the geometric figure circle.

Buttons are available in a number of fancy shapes, but the most popular amongst them are the circle-shaped buttons.

The most preferred shape of a clock is the circular shape. Hence, the wall clocks, table clocks, and wrist-watches are the chief examples of circular-shaped objects used in real life.

Dartboards are circular in shape. It can be noted easily that not just the outer boundary of a dartboard represents a circle, but even the inner rings are concentric circles.

If you take a complete turn around a roundabout, you can trace its boundary that is circular in shape. Hence, roundabouts are a classic example of circle geometric figure present around us.

A giant wheel or a Ferris wheel is one of the major attractions of a carnival. The circular shape of a giant wheel amusement ride can be easily observed.

A compact disc or a CD is a device used to store the data in digital format. It is circular in shape.

What are Some Examples of Circles in the Real World?

Amina Reshma Last Updated: Sep 29, 2022, 9:09 AM EST

2 Min Read

Definition of a Circle

A circle is “a perfectly round shape : a line that is curved so that its ends meet and every point on the line is the same distance from the center.”¹

Have you seen a circle lately? Surely you have! Circles surround you, but you might not even be aware of it if one is right in front of you because they are so common. In the real world, circles can be found in both the natural world and human-made creations. The following are a few examples of circles in daily life:²

1. Clock

Many of the clocks we see are circular in shape. Most wall clocks, table clocks, and wristwatches could be considered the main examples of circular items used daily.

2. Pupil of the Eye

The pupil of the eye is the rounded opening in the center of the iris. Make sure to pay attention to this the next time you stand in front of the mirror.

3. Plates and Bowls

The majority of serving utensils, like bowls and plates, are circular in shape. Plates may therefore be the most typical example of a circular object in daily life.

4. Ferris Wheel

When visiting amusement parks, the Ferris wheel is one of the main draws for most kids. It’s simple to see that a giant wheel ride has a circular shape and could be one of the most exciting examples to show kids.

5. Pizzas, Doughnuts, Cakes, Lollipops, Cheerios, and Cookies

What snacks do most kids love? How many of these snackable are shaped like circles? To be reminded of the definition and vocabulary associated with the geometric figure, check the shape of your favorite snack the next time you reach for it.

6. Wreaths

A wreath is a decorative arrangement of flowers or leaves on a circular base. It is undoubtedly a happy example to give children. Isn’t it?

7. Wheels 

Have you seen any vehicles lately? A bike, a car, a bus, or a bicycle? Another example of a circle-shaped object used daily is the wheels of various vehicles.

8. Frisbee

Frisbees are gliding toys or sporting equipment that are thrown by hand. They are also known as flying disks or gliding disks, and most kids adore them. Another example that children would find appealing? Of course!

9. Magnifying Glass

Magnifying glasses are also circular in shape. The fact that they are circles can be seen clearly through the outer boundary.

10. Medals 

Medals are circular metal disks typically the size of a large coin and decorated or inscribed with text to honor a person, such as a soldier or an athlete. The next time you watch the Olympics, run a marathon, or witness your kid win a sporting event, there will be an opportunity to see for yourself.

If you enjoyed reading about the examples of circles, you can learn more about triangles and golden ratios too. For more thought-provoking articles on math, visit BYJU’s FutureSchool Blog.

References:

1. Circle Definition & Meaning | Britannica Dictionary. (n.d.). Retrieved August 28, 2022, from https://www.britannica.com/dictionary/circle 
2. 438 Things That Are Circular. (n.d.). Retrieved August 28, 2022, from https://thingdb.io/things-that-are-circular/ 

Math, World of Math

What is a circle and a circle, what are their differences and examples of these figures from life

What is a circle and a circle, what are their differences and examples of these figures from life

School time for most adults is associated with a carefree childhood. Of course, many do not want to go to school, but only there they can get basic knowledge, which will then be useful in life. One of them is the question of what a circle and a circle are. It is quite easy to confuse these concepts, because the words have the same root. But the difference between them is not as great as it might seem to an inexperienced child. Children love this theme for its simplicity.

Contents

• 1 What is a circle?
• 2 What is a circle?
• 3 Examples of a circle in real life
• 4 Differences between a circle and a circle
• 5 What is a sector?
• 6 Pins

What is a circle?

A circle is a closed line, each point of which is the same distance from the center line. The most striking example of a circle is a circle, which is a closed body. In fact, there is not much to say about the circle. In the question of what a circle and a circle are, its second part is much more interesting.

What is a circle?

Imagine that you decide to color the circle drawn above. To do this, you can choose any paint: blue, yellow or green - whoever likes what they like best. And so you began to fill the void with something. After that, we got a figure called a circle. Essentially, a circle is a portion of a surface that is outlined by a circle.

The rim has several important parameters, some of which are also specific to the rim. The first is a beam. This is called the distance between the center point of the circle (or circle) and the circle itself, which creates the borders of the circle. The second important characteristic that is repeatedly used in school problems is the diameter (that is, the distance between opposite points of the circle).

And, finally, the third characteristic of a circle is its area. This property is peculiar only to him, the circle has no area due to the fact that there is nothing inside it, and the center, unlike the circle, is more imaginary than real. In the circle itself, you can set a clear center through which you can draw a series of lines that divide it into sectors.

Examples of a circle in real life

In fact, there are enough possible objects that can be called a kind of circle. For example, if you look directly at the steering wheel of a car, here is an example of a completed circle. Yes, it is not necessary to fill it with one color, different patterns are possible in it. The second example of a circle is the sun. Of course, it will be hard to look at, but it looks like a small circle in the sky.

Yes, the Sun's star itself is not a circle, it also has volume. But the sun itself, which we see overhead in summer, is a typical circle. True, he cannot yet calculate the area. After all, its comparison with a circle is given only for clarity, so that it is easier to understand what a circle and a circle are.

Differences between a circle and a circle

So what conclusion can we draw? The difference between a circle and a circle is that the latter has an area, and in most cases a circle is the edge of a circle. Although, at first glance, there are exceptions. Sometimes it may seem that there is no circle inside the circle, but it is not. In any case, there is something. It's just that the circle can be very small and therefore not visible to the naked eye.

Alternatively, the circle can be what makes the circle stand out from the background. For example, in the image above, the blue circle is on a white background. And here is the line along which we understand that the figure begins here and is called in this case a circle. Therefore, the circle is the edge of the circle. This is how a circle differs from a circle.

What is a sector?

A sector is a section of a circle formed by two rays drawn along it. To understand this definition, just remember pizza. When it is cut into equal parts, they are all sectors of a circle, which results in the shape of such a delicious dish. In this case, the sectors do not have to be the same at all. They can be of different sizes. For example, if you cut off half of a pizza, this will also be a sector of this circle.

The element rendered by this concept can only have a circle. A circle (obviously you can also draw a radius, but then it becomes a circle) has no area, so the sector cannot be selected.

Conclusions

Yes, the theme of the circle and the circle (what it is) is very easy to understand. But in general, everything connected with these geometric figures is the most difficult to study. The student must be prepared for the fact that the circle is a capricious figure. But, as they say, it's hard in training, easy in battle. Yes, geometry is a complex science. But its successful development allows you to take a small step towards success. Because the efforts during the training allow not only to replenish the baggage of your knowledge, but also to acquire the skills necessary in life. In fact, this is what the school is about. And the answer to the question, what is a circle and a circle, is secondary, although important.

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Research work "Circle in our life"

Introduction.

Circle and circumference - one of the most ancient geometric figures, philosophers ancient times attached great importance to them. Circle - the embodiment of endless Time and Space, a symbol of all things, the Universe. “Of all the figures, the most beautiful - circle,” said Pythagoras.

There are many round objects around us. Imagine for a second, that a disaster suddenly happened: everything round on Earth disappeared! It would seem - let everything be square. Is it impossible to live without round pipes, And you can't get used to square wheels? Is it even possible to imagine life person without using a circle? Why so many bodies have round shape? To find answers to all these questions, first of all, it is necessary to consider the history of the emergence of these concepts and their further development.

The history of the emergence and development of geometric concepts “circle” and “circumference” .

For primitive people, the shape of the objects around them played an important role. By shape and color, they distinguished edible mushrooms from inedible ones, suitable for buildings of tree species from those that are suitable only for firewood, delicious nuts from bitter, etc. Coconut palm nuts, similar to ball. Of course, there were no special names for geometric shapes. They said: “same as coconut” or “same as salt”, etc. Yes, mastering the world around them, people got acquainted with the simplest geometric shapes.

Since ancient times, people have been interested in round bodies. In ancient Egypt for the construction of the famous Egyptian pyramids, no technical structures have yet been It was. Even huge blocks of stone had to be polished by hand, and moved them with round logs. We noticed that rolling is easier if you take a piece of wood with almost the same thickness at the beginning and at the end. So people got acquainted with one of the most important bodies - cylinder . rolling pins women also used the cylindrical shape, rolling out linen after washing. It was quite difficult to transport goods on skating rinks, because the wood the trunks weighed a lot. To facilitate the work, they began to cut thin round plates that rolled more easily and with their help dragged cargo. This is how the first wheel appeared. Unfortunately, no direct wheel inventor.

Not only in the process of work people got acquainted with various figures. long time ago they loved to adorn themselves, their clothes, their homes. And many created a long time ago, decorations had one form or another. The beads were spherical bracelets and rings had the shape of a circle. The ancient masters learned to give beautiful form of bronze, gold, silver, precious stones. Painters, those who painted palaces also used the circumference. Since the invention potter's wheel, people learned to make round dishes - pots, vases, amphoras. The columns supporting the buildings were also round.

The mathematical knowledge of the Egyptians and Babylonians was scattered and represented a set of rules tested by practice. In ancient Greece, all scattered knowledge was brought into the system, geometry began to develop rapidly as a science. Only in In ancient Greece, “circumference” and “circle” got their names, almost all names geometric figures of Greek origin, like the word geometry itself (“geo” - earth, and "metrio" - to measure). However, these words entered the Russian language not directly from Greek, but through Latin.

In ancient Greece, many properties of figures, including circles and circles, were formulated in the form of theorems and proved. The most successfully presented geometry, as the science of the properties of geometric figures, by the Greek scientist Euclid (III century BC) in his books "Beginnings". For many centuries the "Beginnings" were the only educational book by which young people studied geometry. And even now, in our time, textbooks are written under the great influence of Euclid's Elements.

Circle and circle are plane figures. We live in a world of three dimensions. And what geometric body will the circle and circle if they fall into space? This is a sphere and a ball. "Sphere" - came from the Greek word "sfire", in translation - "ball". In addition, the geometry space also considers other round bodies - this is a “cylinder” (from the Greek the words “kyulindros”, which means “roller”, “skating rink”) and “cone” (from the Greek word "konos", meaning "pine cone"). by the most important among the round bodies was the ball.

So, in ancient Greece, the circle and circumference were considered the crown of perfection. "AT each of its points, the circle is arranged in the same way, which allows it move on its own." This property of the circle was the impetus for the emergence wheels (Appendix 5) . (Appendix 2) .

Circle - “circulus” - a Latin word, from it also “compass”, without which we didn't make a circle. The compass and straightedge are the oldest drawing tools in the world. Earth. (Appendix 3.)

Circle and circle elements (Appendix 2) :

The radius of a circle is a segment connecting the center of the circle with any of its dot (in Latin - wheel spoke) .

The diameter of a circle is the chord passing through the center of the circle (with Greek - "diameter").

Chord of a circle - a segment connecting any two points on a circle ( s Greek for "string").

Arc of a circle - is the part of a circle bounded by two points.

Often in practical applications it is necessary to know the circumference of a circle. And how to measure the circumference of a circle, if the circle itself is a curved line, and the unit of length is - line segment? There are several ways to measure circumference (Appendix 1) .

However, these methods of directly measuring the circumference of a circle are not very convenient and give approximate results. Therefore, since ancient times, they began to look for more perfect ways to measure the circumference of a circle. During the measurements, we noticed that between the circumference of a circle and the length of its diameter there is a definite dependence: С:d ≈ 3.1.

Many mathematicians tried to prove that this ratio is a number constant, independent of the size of the circle, it began to be denoted by the Greek letter π - the first letter of the Greek word "periphery" - a circle.

C:d = π, where C is the circumference, d is the length of the diameter, hence the formula circumference C = πd or C = 2pr.

After studying the research of scientists mathematicians, we made the following measurements and calculations:

1. Calculation of the number pi : a) using a thin thread, measure the length circle With some household items; b) to more accurately find the length of the diameter d, attached this object to a sheet of paper and circled it with a pencil, cut it out, folded it in half, the fold line is the diameter, measured it with a ruler; c) found C:d ratio, data entered in the table:

Table 1.

Items	Circumference C	Diameter d	C:d ratio
Cup	22 cm	7 cm	3. 1428
Bucket	82 cm	26 cm	3.1538
Plate	62 cm	19.5 cm	3.1794
Saucepan	69 cm	22 cm	3.1363
Can	52 cm	16.5 cm	3.1515

2. Limits of the value of pi : square: if the diameter is 1, then the circumference is π. The perimeter of a square with side 1 is 4. Hence π is less than 4. ( Appendix 6 . Fig.1). b) a regular hexagon was inscribed in the same circle: diameter circle is again 1, the circumference is π. The side of a regular hexagon is equal to the radius, i.e. 0.5, and the perimeter is 6 0.5=3, so π is greater than 3 ( Application 6 . Fig.2).

As a result, we have seen that the ratio of the circumference of a circle to its diameter (number π) is a constant number and 3 ‹ π ‹ 4 , i.e. we confirmed the studies scientist mathematicians.

One of the mysteries of the number π is that it cannot be expressed as - or an exact fraction. The history of the number π is admirable, many mathematicians spent more than a dozen years on its calculations. The lower and upper estimates of the number and unsuccessful attempts were made to represent π as a fraction and, so finally find its value (Annex 4) . While the record belongs to a Japanese mathematician, in 2004 year - Yasuma Canada from Tokyo calculated the number π on a computer to 1.24 trillion signs.

π -3.141 592653589793238462643 383279502 884197 169 399 375 105 ….

Why do we need π, and even with such accuracy? The number pi is extremely important for scientists and engineers. Everything that is round and everything that moves in a circle (like wheels or planets), contains π. Without π, people could not create cars, understand movement planets or count how many peas fit in a tin can. But a riddle mysterious number has not been resolved until today, and, as before, worries scientists. At present, an incomprehensible set is associated with the number π formulas, mathematical and physical facts. Their number continues grow rapidly. All this indicates a growing interest in the most important mathematical constant, the study of which has more than twenty-two centuries.

After reviewing the literature and doing your own measurement studies with circle and circle, we came to the following conclusions: the circle and the circle are surprisingly harmonious figures. Circumference - the only curve that can "slide on its own", revolving around center. This property of the circle gives an answer to the questions why for its drawings use compasses, and why wheels are made round and not square or triangular.

Circle in the surrounding life.

Investigating the question of the role of the circle in the surrounding life, we survey of students in grades 5-9 and teachers MO SHISP (total 90 people):

1. What round bodies do you meet in your life?
2. What is the significance of the circle in other sciences?
3. What practical tasks of everyday life are solved using knowledge about circle and circumference?
4. Why do you think there are so many round bodies in nature?

Answers to the first question are provided in presentation .

From the answers of subject teachers to the second question of the questionnaire, we understood that the circle is of great importance not only in mathematics, but also in other sciences:

Subject	Use
Physics and astronomy	The movement of celestial bodies occurs in circular orbits. Zodiac circle, astronomical circle. Circle with a dot in the center symbolizes the sun.
Geography	Meridians and parallels that determine the position of the body on globe, equator. Circular processes-cycles: the cycle of water and substances in nature. Change of seasons, change of day and night.
Chemistry	The structure of the atom: the nucleus is round, the electrons rotate around the nucleus in circular orbits.
Biology	All cells have a round nucleus. Round shape blood cells, cylindrical - cells of many glands. Plant stems and tree trunks, human bones - round. Blood circulation goes in a circle. Vegetables and fruits are spherical or cone-shaped. Cyclical development of living beings.
Russian	In Russian, the word “round” means high degree of something: “round honors”, “round orphans” and even “round fool". Many different words are formed from the word circle: round, round, round, round, round, around, around, surround, circle and more. Rounded shapes, round face, round cheeks, all year round, head going around, walking in a circle - frequently used expressions.
History and social studies	“Round table” – conferences, circulation of capital, family circle, wheel of history, “large and small circle of history” - historical cycles.

After analyzing the answers to the third question of the questionnaire, we realized that knowledge about the circle and circles allow a person to solve many practical problems in everyday life. life: break a flower bed or fountain, make a round roof, window or cover, sew headdress, tie a napkin, make a Christmas toy, make a pattern dresses or skirts, draw a pattern, etc.

Thus, the circle in a person's life has a very important role, and in life it is impossible to do without round objects.

Not everyone we interviewed could answer the fourth question.

Here we put the most interesting and common answers:

• Only round objects can roll and are therefore easier to move.
• Because wherever we go, we return, i.e. we go in a circle.
• The circle has no corners and is therefore easy to use, e.g. round coins cannot tear a pocket, you won’t prick on them, you won’t cut yourself.
• The ball cannot be square, it will not bounce.
• The pottery was made of clay, and the round shape was easier to give than square. Round dishes are easier to wash, no need to scrape out of the corners, in it easier to stir.
• It is easier to make round than angular. Many technical processes easier for bodies of revolution.
• There is less material for a round mold than for a square mold.
• A round manhole cover will never fail, unlike a square one.
• All jars and lids are round, as every point on the circle is stress concentration point and easy to open, rectangular shape only corners are such points.
• Because the sun is round, and without the sun we could not exist.
• The round shape is universal in nature.

Why are there really so many round bodies? We turned to scientific sources. This question can be answered by considering a soap bubble, because it is perfectly round. Surface tension keeps it from bursting soap bubble and strive to give the soap bubble the most compact shape. The most compact shape in nature is a sphere. When spherical, air inside the bubble evenly presses on all parts of its inner wall.

There are many round objects in the sky: Sun, Moon, planets, stars. Why not be at least one non-circular planet? Well, let one be cubic or pyramidal. But this is impossible? There is a force that in the whole universe turns worlds into smooth balls. This force is the force of gravity. Each item has its gravity, attracts other bodies to itself, as well as its parts. How the larger the body, the more gravity increases. Our earth is huge, so it has its own great gravity, which causes everything to be attracted to it center, and the body is transformed into a ball. If for some reason it was possible change our planet and give it a different shape, not a ball, then after some time it would again become spherical. This does not happen with bodies on the ground, because their force is very small and the gravity of the Earth prevents this. But if you take, for example, a drop of water and launch it into space, it immediately turns into a ball. It is the liquid that is able to transform into a spherical form. The earth is composed mainly of magma (liquid) and therefore has the shape of a ball.

Thus, we came to the conclusion that nature itself chooses this convenient and compact spherical shape.

In addition, the circle and circle in the form of a sphere and a ball are the most common form in the universe.

A circle and a circle are also the trajectory of the Earth around the Sun, this the movement of stars in the sky is the cyclicity of all processes occurring in the world. If it were necessary to choose a form that most accurately transmits the device world, then it would be a circle and a circle.

After studying the scientific literature, we concluded that from time immemorial people use a circle in their life.

1. Around 3300 BC, the potter's wheel was used to make round dishes - plates, vases, pots, pots, pans. The dishes have circle (top edge) and circle (bottom).

2. We cannot imagine our life without cars: bus, tractor, bicycle, sewing, washing and typewriter, aircraft, all-terrain vehicle, lunar rover, various machine tools, a crane ... They are not similar to each other, but take a closer look at them take a closer look. They all have similar parts - details, and one of them - wheel. At first the wheels were round and smooth, so that they rolled easily on the ground, and then man came up with many different wheels. The gears are hidden inside many machines, one wheel makes the other rotate, grooved wheels are blocks, helping to lift heavy loads. Machines have improved over the centuries and improved, but the use of a wheel in them remains unchanged, as main detail.

3. Circle and circumference are widely used in architecture and art: round arches, vaults, domes. The circle is a form of nomadic tents and settlements, many peoples symbolizing dynamism and endless movement as opposed to squares houses, plots of land and cities of settled and grain-growing peoples. More ancient Greeks discovered that with the help of a compass and straightedge, many figures can be constructed, including hexagons, squares and other regular polygons, and create magical patterns.

4. The scope of the circle in mathematics is boundless: the trigonometric circle, Euler circles, building problems, pie charts, etc. Many appliances have a round scale, in mathematics such a device is a protractor (Appendix 7) .

There are problems in mathematics that have not yet been solved, for example, the famous problem of “squaring the circle” – about constructing a square of equal area this circle, etc.

5. Pictures with magic circles are used by people for medical purposes when you look at them, it seems that they are moving. If you look at them a few minutes, then the headache goes away (Appendix 8) .

6. Also, a person uses a circle as a universal symbol, meaning integrity, continuity, original perfection, infinity, lack of beginning and end, top and bottom, cyclicity, repetition, completeness. The three concentric circles symbolize the past, present and future; three spheres of the earth: earth, air and water; heavenly worlds, earth and hell; Moon phases; rising, noon and setting sun. many nations use the circle in religion as a symbol of the earthly connection with the cosmos.

Recently, circles have begun to appear in different places on the globe. fields that are created by messengers from other worlds, wishing to warn earthlings about something. (Appendix 9) .

7. In the encyclopedia, we found many more concepts related to the circle: circular knitting machine, circular stocking machine, round pliers, round gauge, "circular system" in sports, horizons, circle of friends, social circle, rescue circle, holy circle, spiritualistic circle, all-round defense, mutual responsibility, 24-hour pharmacy, circles around the eyes.

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