Is a circle a polygon yes or no Justify your answer?

Is a circle a polygon yes or no Justify your answer?

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.

How does the circumference of a circle relate to the perimeter of a polygon?

Circumference is a measure of the distance around a circle, just as the perimeter is a measure of the distance around a polygon. Circumscribed polygons will result in an overestimate of π.

How do you find the perimeter of a regular polygon inscribed in a circle?

The perimeter of the regular n sided polygon inscribed in a circle is n times the side length of this polygon, which we have just calculated: n \times 2r \sin{\left(\frac{360}{2n}\right)}.

Can a circle be called polygon explain your answer?

A polygon is a closed plane figure with three or more sides that are all straight. A circle is not a polygon as it does not have straight sides. …

What is the figure of polygon?

In geometry, a polygon (/ˈpɒlɪɡɒn/) is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

What is a polygon and what is not a polygon?

A polygon is a flat, two-dimensional (2D) shape with straight sides that is fully closed (all the sides are joined up). Polygons may have any number of sides. A polygon. A shape with curved sides is not a polygon. A shape that is not fully closed is not a polygon.

When the vertices of a polygon are on the circumference of a circle What can you say about their relationship?

Theorem: The line segment from the center of a circle to the common intersec- tion of two tangents also bisects the angle that is formed by the two tangents. We say that a polygon is inscribed inside a circle if all of the vertices of the polygon are on the circumference of the circle.

How are perimeter and circumference related?

Perimeter or Circumference. This is the total length of a shape’s outline. The length of a straight-sided shape’s outline is called its perimeter, and the length of a circle’s outline is called its circumference.

How do you find the perimeter of an inscribed Pentagon?

The lengths of the two sides of each triangle radiating out from the centre are equal to the radius of the circle, which is 8. This is the length of one of the sides of the pentagon. So the perimeter is 5×9. 4=47.02.

How many vertices does a polygon have?

In any polygon a pair of sides that are inclined to each other meet at a point. This point is called a vertex of the polygon. In the polygon there are as many vertices as there are sides. The triangle has 3 sides and 3 vertices.

How do you name the vertices of a polygon?

The endpoints of the sides of polygons are called vertices. When naming a polygon, its vertices are named in consecutive order either clockwise or counterclockwise. Consecutive sides are two sides that have an endpoint in common. The four‐sided polygon in Figure could have been named ABCD, BCDA, or ADCB, for example.

How many vertices are there in a pentagon?

5
Pentagon/Number of vertices