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(1/2sh)

which statement is true?

a. - as h increases, ns gets closer to 2πr.

b. - as s increases, ns gets closer to 2πr.

c. - as r increases, ns gets closer to 2πr

d. - as n increases, ns gets closer to 2πr.