Aregular decagon has a radius of 8 cm. what is the approximate area of the decagon? recall that a decagon is a polygon with 10 sides. 188 cm2 198 cm2 304 cm2 375 cm2

we know that

The area of a regular polygon is equal to

see the attached figure to better understand the problem

the measure of the internal angle in a regular polygon is given by the formula

where

n is the number of sides

in this problem

In the right triangle OAP

m∠OAP=

Find the length OP (apothem)

Find the lenght AP

the side of the decagon is equal to

Find the perimeter of the decagon

Find the area of the decagon

therefore

the answer is

The area of the decagon is equal to