Question

Please help!!! Find the area of a regular pentagon with side length = 12 and an apothem = 3.

Answer 1

the area of a regular polygon is

(1/2) * (apothem) * (perimeter)

This is what we need to know:
n = number of sides
s = length of a side
r = apothem (radius of inscribed circle)
R = radius of circumcircle

we know:
n=5; s=12; r=3 but we are now missing R.

Answer 2

forget that stuff I put of what we need to know we just need the equation

(1/2)*(apothem)*(perimeter)

(1/2)*(3)*(5*12)
(1/2)*(3)*(60)
=
90

Area of this pentagon is 90