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
