Aregular polygon inscribed in a circle can be used to derive the formula for the area of a circle. the polygon area can be expressed in terms of the area of a triangle. let s be the side length of the polygon, let r be the hypotenuse of the right triangle, let h be the height of the triangle, and let n be the number of sides of the regular polygon. polygon area = n(12sh) which statement is true? as r increases, the area of the regular polygon approaches the area of the circle. as n increases, the area of the regular polygon approaches the area of the circle. as s increases, the area of the regular polygon approaches the area of the circle. as h increases, the area of the regular polygon approaches the area of the circle.

As n increases, the area of the regular polygon approaches the area of the circle.

Step-by-step explanation:

A regular polygon inscribed in a circle can be used to derive the formula for the area of a circle.

The polygon area can be expressed in terms of the area of a triangle.

Let s denote the side length of triangle.

r hypotenuse of right triangle.

h height of the triangle.

let n be the number of sides of the regular polygon.

The area of polygon is given by:

polygon area = n(12sh)

The correct statement is:

As n increases, the area of the regular polygon approaches the area of the circle.

" Since, as the number of sides of the polygon increases the polygon start approaching to the circumference of circle and as n tends to infinity the polygon will tend to take the shape of the circle "