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.
Table of Contents
What is a Circle?
A circle is a planar figure bounded by one curved line and defined by the fact that all straight lines drawn from a certain point within it to the bounding line are equal. The bounding line is called its circumference, and the point, its center.
Circular Polygon
A tangential polygon, also known as a circular polygon in Euclidean geometry, is a convex polygon with an inscribed circle (also called an incircle). This is a circle that is perpendicular to each of the polygon’s sides. Tangential polygons include all triangles and regular polygons with any number of sides.
Summary
- The answer to the question “is circle a polygon?” is No
- A polygon is a closed shape on a plane made up of a finite number of connected line segments from end to end.
- A circle is curved and cannot be made up of line segments, it does not fulfill the definition of a polygon.
Frequently Asked Question
1. What is a polygon?
A polygon is a two-dimensional flat shape with entirely closed straight sides. The sides must be straight, not curved. Polygons can have any number of sides.
2. What is a circle?
A circle is formed by a closed curved line that encircles a central point. The distance between each point on the line and the central point is the same.
3. Is a circle a polygon?
A polygon is not the same as a circle. From end to end, a polygon is a closed-form on a plane made up of a finite number of linked line segments. Because a circle is curved, it cannot be made from line segments and so does not meet the conditions for becoming a polygon.
Exam Related Questions
| 1. | Is a circle considered a polygon? | No, a circle is not considered a polygon. |
| 2. | Why is a circle not considered a polygon? | A polygon is a closed geometric figure with straight sides, while a circle is a closed figure with a curved boundary. Therefore, a circle does not meet the definition of a polygon. |
| 3. | Can a circle have sides? | No, a circle does not have sides. |
| 4. | Can a circle have vertices? | No, a circle does not have vertices. |
| 5. | What is the formula to find the perimeter of a circle? | There is no formula to find the perimeter of a circle, as a circle does not have straight sides. The perimeter of a circle is instead referred to as its circumference, which can be found using the formula C = 2πr or C = πd, where r is the radius and d is the diameter of the circle. |
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