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 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 n increases, ns gets closer to 2πr​.

As h increases, ns gets closer to 2πr​.

As s increases, ns gets closer to 2πr​.

As r increases, ns gets closer to 2πr
A hexagon inscribed in a circle is divided into 6 equal parts. Each part represents a triangle. Starting from top right and moving in the clockwise direction, the base of the fifth part is labeled s and the common side of the fourth and fifth part is labeled r. A dashed line drawn from the center of the circle to base is labeled as h. n equals 6 is labeled outside of the circle.