Question

Find the area of a regular pentagon of side 8 cm

Answer 1

So the area of the regular Pentagon will be (16root3+64)cm

Answer 2

The area of the Pentagon is 220 cm².

Given data :

Pentagon's one side = 8cm

Pentagon's perimeter = (8×5) = 40 cm [Pentagon has five sides]

Pentagon's apothem = 8/2tan(180/5) = 8/2tan36 = 8/2× 0.726 = 4/0.726 = 5.5 cm

So,the area = (perimeter × apothem) = (40×5.5) = 220 cm²