Question

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?

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​.

Answer 1

D. as n increases, ns --> 2πr
 h/r cannot increase it is the circle radius
s, side length we want to get smaller and smaller to make a circle

Answer 2

Answer:

D let N be the number of sides of the regular polygon

Step-by-step explanation: i just took the test