Question

Explain how the formula for the area of a regular polygon is derived from that of a triangle.

Answer 1

do u understand about arcs from interior angles of a circle...?

Answer 2

are u even there dude...? @lashon20

Answer 3

yea my bad im here

Answer 4

cool, so area of polygon = [ (s^2) * n ]/ 4 * tan (180/n)

Answer 5

s = side length
n = number of sides

Answer 6

thanks for the help

Answer 7

haven finished yet dude...

Answer 8

yea

Answer 9

so dude, if the polygon was 3 sided, the angle coming out from the center would be 360/n for the apex of each triangle
= 360/3 for a triangle
= 120 degrees

Answer 10

so area of this little triangle (with an apex of 120 degrees)

Area = 1/2 x base x height

as base of this triangle = side length of polygon

Area = 1/2 x side length x height

and height = ...?