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Can We Say That A Circle Is A Polygon

A polygon is a closed figure on a plane formed from a finite number of lines segments connected end-to-end. As a circle is curved, it cannot be formed from line segments, as thus does not fit the conditions needed to be a polygon.

A polygon is a closed figure, but it is formed from a finite number of lions segments that are connected and to end. So a polygon is created from line segments to form a closed figure. And it is these line segments that make it impossible for a circle to be a polygon line segments.

Let us assume that a polygon with infinite sides and vertices can be considered as a circle. This would mean that in between any two successive vertices their is a line segment although infinitesimally small. And this segment is straight. Whereas, any arc of a circle of whatsoever small length is curved.

• a closed broken lines lying in a plane. • a closed figure with straight edges. etc. None of these definitions include a circle or other closed curve figure to be a polygon.

What kind of shape is half a circle?

A semicircle is half of a circle.

Why half of a circle is not polygon?

A polygon is a closed figure on a plane formed from a finite number of lines segments connected end-to-end. As a circle is curved, it cannot be formed from line segments, as thus does not fit the conditions needed to be a polygon.

What is not a polygon?

A circle is not a polygon as it does not have straight sides.

Is a half circle a concave polygon?

That is, a polygon is concave when at least one of its inside angles is greater than 180 degrees. Notice that no matter where you place two points within a circle, the line connecting the two points never goes outside the circle. Therefore, a circle is not concave; when a shape is not concave, we call it convex.

Is a circle a polygon or quadrilateral?

A circle is not a polygon. A quadrilateral is a special kind of polygon that has exactly four sides that are all line segments. This means that a quadrilateral always has 4 sides, 4 angles, the sides cannot be curved, and the figure must be closed in (because it is a type of polygon).

Is a triangle a polygon yes or no?

A polygon is any shape made up of straight lines that can be drawn on a flat surface, like a piece of paper. Such shapes include squares, rectangles, triangles and pentagons but not circles or any other shape that includes a curve.

Why is a triangle considered a polygon?

A polygon is any 2-dimensional shape formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. The name tells you how many sides the shape has. For example, a triangle has three sides, and a quadrilateral has four sides.

Are all triangles polygon?

A triangle is the simplest form of the polygon that has three sides and three vertices. The triangles are also classified into different types, based on the sides and angles.

More Answers On Can We Say That A Circle Is A Polygon

Is a Circle a Polygon? – Reference.com

A circle is not a polygon because it does not conform to the definition of a polygon. The definition of a polygon is a closed figure formed by straight lines or straight sides. Although the circle is a closed figure, it is not formed by straight line segments.

Is a Circle a Polygon or Not? Implications for Calculus

The formula above only works for polygons. 3. The only shape that could ever satisfy the needs of (∞ -2)180/∞ =180 is a circle. 4. Saying this, because a circle has 360 deg. then a circle is considered a 2-sided polygon. Proof #2 1.

Is the circle considered a polygon? – Quora

Originally Answered: Can we define a circle as a polygon? No, but we can say that as the numbre of sides of a polygon gets higher and higher, the polygon looks more and more like a circle. If I were to draw a 1000-sided polygon, it would look like a circle.

Is a Circle a Polygon? – What’s Insight

A circle is not a polygon. A polygon is a closed figure on a plane created by a finite number of end-to-end linked line segments. Because a circle is curved, it cannot be constructed from line segments and so does not meet the criteria for being a polygon. [Reference] Table of Contents What is a Circle? Circular Polygon Sumary

Is a circle a regular polygon? | Socratic

No Explanation: A circle is not a polygon at all. A polygon is a closed figure on a plane formed from a finite number of lines segments connected end-to-end. As a circle is curved, it cannot be formed from line segments, as thus does not fit the conditions needed to be a polygon. Answer link

Can we see a circle as a regular polygon with an infinite … – Quora

The circle is not a polygon. A polygon has straight lines as sides. The circle has no straight lines as sides. But you didn’t ask if it was, you asked “can we see” it. I’ll take that to ask if there’s some useful aspects to pretending that a circle is a polygon with many sides. The answer is yes. You’ll get insight into things that way.

Polygons in a Circle – Maths In Context

and the hexagon 4.7 x 6 = 28.2 cm If we compare this with the circumference of the circle, 29.84 cm (π x 9.5 (diameter)), we see that the more the sides of the polygon added, the more we get nearer to the circumference of the circle. Archimede was the one who came up with this idea.

Explain why a circle is not a polygon. – Toppr Ask

A circle is not a polygon. A polygon is a closed figure on a plane formed from a finite number of lines segments connected end-to-end. As a circle is curved, it cannot be formed from line segments, as thus does not fit the conditions needed to be a polygon. Was this answer helpful? 0 0 Similar questions Define a polygon. Medium View solution >

SOLVED:Why is a circle not a polygon? – Numerade

A polygon is a closed figure, but it is formed from a finite number of lions segments that are connected and to end. So a polygon is created from line segments to form a closed figure. And it is these line segments that make it impossible for a circle to be a polygon line segments.

Explain why a circle is not a polygon class 9 maths CBSE

Complete step-by-step answer: A circle is not a polygon. A circle is the set of points in a plane that are equidistant from a given point. The distance from the center is called the radius, and the point is called the center. A polygon is a closed figure on a plane formed from a finite number of lines segments connected end-to-end.

If a polygon is drawn inside a circle, we say that the? A. polygon is …

If a polygon is drawn inside a circle, we say that the? A. polygon is tangent to the circle B. circle is… Get the answers you need, now! Nyree18 Nyree18 05/18/2017 Mathematics High School answered If a polygon is drawn inside a circle, we say that the? A. polygon is tangent to the circle B. circle is inscribed in the polygon C. polygon circumscribes the circle D. circle circumscribes the …

Is circle a polygon? why or why not – Brainly.ph

Apr 20, 2021Answer: A circle is not a polygon because it does not conform to the definition of a polygon. The definition of a polygon is a closed figure formed by straight lines or straight sides. Although the circle is a closed figure, it is not formed by straight line segments.

Is a circle inside a polygon? – Computer Science Stack Exchange

1 Answer. Call the center point ( c x, c y). The function d ( p x, p y) = ( p x − c x) 2 + ( p y − c y) 2 computes the distance from the point ( p x, p y) to the center of the circle. For each edge of the polygon create its line equation from its two endpoints. If the two endpoints are ( a, b) and ( c, d) then this line is y = ( d − b c …

Polygon – Wikipedia

A spherical polygon is a circuit of arcs of great circles (sides) and vertices on the surface of a sphere. It allows the digon, a polygon having only two sides and two corners, which is impossible in a flat plane. Spherical polygons play an important role in cartography (map making) and in Wythoff’s construction of the uniform polyhedra.

What is a circle is it a polygon that has infinite sides? – reddit

A circle is a shape where every point on the “edge” is the same distance from the centre. try to draw an polygon that has 22384 sides for example. it will look like a circle. then if it has infinite sides it will be a circle. some mathematicians claim circle has infinte sides not none. A circle is the set of all points that are equal distance …

Geometry: Circles: Circles and Polygons | SparkNotes

There are two simple ways to unite a circle with a polygon. One is inscription, and the other is circumscription. When a polygon is inscribed in a circle, it means that each of the vertices of that polygon intersects the circle. When a polygon is circumscribed about a circle, it means that each of the sides of the polygon is tangent to the circle.

If Circle Is Not a Polygon . So ,How Can We Say That It Has a Straight …

Find the area of a regular 36-sided polygon inscribed in a circle of radius 20. geometry. The sum of the measures of the interior angles in a polygon is 540 degrees. How many sides does the polygon have? math. A regular polygon is inscribed in a circle of radius 9 cm. Calculate the perimeter of the polygon to the nearest tenth if the polygon …

Circle vs Polygon – What’s the difference? | WikiDiff

Noun. ( wikipedia polygon ) ( en noun ) (geometry) A plane figure bounded by straight edges. (geometry) The boundary of such a figure. (geometry, more generally) A figure comprising vertices and (not necessarily straight) edges, alternatingly. (geometry) Such a figure and its interior, taken as a whole.

Inscribed and Circumscribed Circles and Polygons on the GMAT

One more sophisticated type of geometric diagram involves polygons “inside” circles or circles “inside” polygons. When a polygon is “inside” a circle, every vertex must lie on the circle: In this diagram, the irregular pentagon ABCDE is inscribed in the circle, and the circle is circumscribed around the pentagon.

Regular Polygon – math word definition – Math Open Reference

In a regular polygon all its vertices lie on a circle. In fact, this can be one of the definitions of a regular polygon: “All sides are the same length and all vertices lie on a circle”. This circle is also called the circumcircle. See Circumcircle of a regular polygon. Being equilateral is not enough. For a polygon to be ’regular’ it must have …

Polygons – mathsteacher.com.au

A circle is not a polygon as it does not have straight sides. Polygons are named according to the number of sides. The names of the most common polygons are given below: Concave Polygon If a polygon has a reflex angle, then it is said to be a concave polygon. An example of concave polygon is shown below. Convex Polygon

Explain why a circle is not a polygon class 9 maths CBSE

A circle is not a polygon. A circle is the set of points in a plane that are equidistant from a given point. The distance from the center is called the radius, and the point is called the center. A polygon is a closed figure on a plane formed from a finite number of lines segments connected end-to-end. As a circle is curved, it cannot be formed …

Explain why a circle is not a polygon. – Toppr Ask

Solution. A circle is not a polygon. A polygon is a closed figure on a plane formed from a finite number of lines segments connected end-to-end. As a circle is curved, it cannot be formed from line segments, as thus does not fit the conditions needed to be a polygon.

Interaction between Circle and Polygon: Formulas, Solved Problems – EMBIBE

Ans: A polygon is not a circle. A polygon is a closed figure on a plane made up of a finite number of end-to-end line segments. Because a circle is curved, it can’t be made from line segments and hence doesn’t meet the criteria for being a polygon. We hope this article on the interaction between the circle and polygon is helpful to you. If …

What is a circle is it a polygon that has infinite sides? – reddit

A circle is a shape where every point on the “edge” is the same distance from the centre. try to draw an polygon that has 22384 sides for example. it will look like a circle. then if it has infinite sides it will be a circle. some mathematicians claim circle has infinte sides not none. A circle is the set of all points that are equal distance …

POLYGON/CIRCLE – Collision Detection

POLYGON/. CIRCLE. To test if a circle has collided with a polygon, we can simplify the problem to a series of Line/Circle collisions, one for each side of the polygon. Since we’ve already covered the steps to go through the vertices as lines, and Line/Circle collisions, let’s just look at the test for each side: boolean collision …

Circumscribed in Maths- Meaning for Circle, Polygon, Triangle

A circumscribed polygon is a polygon in which each side of the polygon is a tangent to a circle. Here, we can say that a polygon inscribed the circle. An inscribed polygon is a polygon in which all vertices lie on a circle. The polygon is inscribed in the circle, and the circle is circumscribed about the polygon.

What is the difference between a triangle and a circle? Can we say that …

Answer:the difference between triangle and circle is that circle is a polygon with three sides and three angles while circle is two dimensional geometry figure … Sh1nzo Sh1nzo 04.04.2021

If Circle Is Not a Polygon . So ,How Can We Say That It Has a Straight …

Name the polygon . goemetry. can the following formula to find the sum of the interior angles of a polygon be used on a concave polygon? 180(n-2) where n= the number of sides . Geometry. If a polygon has 33 sides what is a) The sum of the measures of the angles of the polygon? b) The sum of the measures of the exterior angles, one per vertex …

Circles vs an infinitely n-sided polygon. | Physics Forums

In this case, your sequence of polygons would tend towards a circle. And, so, by this definition, the circle would be the limit shape. Also, the total length of the sides of the polygon would converge to the circumference of the circle. So, the polygons would approximate the circumference closer and closer.

Resource

https://www.reference.com/world-view/circle-polygon-9ac0da938b74d1c7
https://www.quirkyscience.com/circle-a-polygon/
https://www.quora.com/Is-the-circle-considered-a-polygon?share=1
https://whatsinsight.org/is-a-circle-a-polygon/
https://socratic.org/questions/is-a-circle-a-regular-polygon
https://www.quora.com/Can-we-see-a-circle-as-a-regular-polygon-with-an-infinite-number-of-sides-Why?share=1
https://www.mathsincontext.com/polygons-in-a-circle/
https://www.toppr.com/ask/question/explain-why-a-circle-is-not-a-polygon/
https://www.numerade.com/questions/why-is-a-circle-not-a-polygon/
https://www.vedantu.com/question-answer/explain-why-a-circle-is-not-a-polygon-class-9-maths-cbse-5efbda2ea261932d3020966c
https://brainly.com/question/3791888
https://brainly.ph/question/13614123
https://cs.stackexchange.com/questions/77944/is-a-circle-inside-a-polygon
https://en.wikipedia.org/wiki/Polygon
https://www.reddit.com/r/learnmath/comments/3z4z0a/what_is_a_circle_is_it_a_polygon_that_has/
https://www.sparknotes.com/math/geometry1/circles/section4/
https://www.jiskha.com/search?query=IF+CIRCLE+IS+NOT+A+POLYGON+.+SO+%2CHOW+CAN+WE+SAY+THAT+IT+HAS+A+STRAIGHT+SIDES+%3F
https://wikidiff.com/polygon/circle
https://magoosh.com/gmat/inscribed-and-circumscribed-circles-and-polygons-on-the-gmat/
https://www.mathopenref.com/polygonregular.html
https://www.mathsteacher.com.au/year7/ch09_polygons/05_polygon/pol.htm
https://www.vedantu.com/question-answer/explain-why-a-circle-is-not-a-polygon-class-9-maths-cbse-5efbda2ea261932d3020966c
https://www.toppr.com/ask/question/explain-why-a-circle-is-not-a-polygon/
https://www.embibe.com/exams/interaction-between-circle-and-polygon/
https://www.reddit.com/r/learnmath/comments/3z4z0a/what_is_a_circle_is_it_a_polygon_that_has/
http://jeffreythompson.org/collision-detection/poly-circle.php
https://byjus.com/maths/circumscribed/
https://brainly.in/question/38211330
https://www.jiskha.com/questions/1014043/if-circle-is-not-a-polygon-so-how-can-we-say-that-it-has-a-straight-sides
https://www.physicsforums.com/threads/circles-vs-an-infinitely-n-sided-polygon.743507/