Question

Find the area of the regular polygon.

Answer 1

Answer:

Then, the area is 222,48 in

Step-by-step explanation:

The area of the regular polygon is: 1/2 x perimeter x apothem.

The perimeter 6 times the number of sides of the polygon which is 9*6in = 54 in.

The apothem is: s/2tan(180/n)  where "s" is the lenght of the side and "n" the number of sides.

apothem = s/2tan(180/n) = 6in/(2tan(180/9)) = 8.24 in

Then, the area is:  1/2 x 54 in x 8.24 in = 222,48 in