Question

Find the area of the regular polygon.

Answer 1

The Area of the regular polygon=65.35 inches²

Explanation:

We are given:

Length of side of polygon = 10 inches

Apothem = 13.07

We need to find area of the regular polygon.

The formula used is:
`Area \of \ the \ regular \ polygon=(1)/(2)* (apothem) *(Perimeter) \\`

`Perimeter = Sum \ of \ length \ of \ all \ sides`

The polygon has 8 sides. so,

`Perimeter = 10+10+10+10+10+10+10+10\\Perimeter = 80`

Now, finding area of Polygon

`Area \of \ the \ regular \ polygon=(1)/(2)* (apothem) *(Perimeter) \\\\Area \of \ the \ regular \ polygon=(1)/(2)* (13.07) *(10)\\Area \of \ the \ regular \ polygon=(1)/(2)* (130.7)\\Area \of \ the \ regular \ polygon=65.35 \ inches^2`

So, the Area of the regular polygon=65.35 inches²