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(1/2sh)
Which statement is true?
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 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.
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.
