Question

14

Find the area of the regular polygon. Round your answer to the nearest tenth.
13.07 in
10 in
A
B
с
176.6 in 2
966.1 in.?
80.0 in 2
483.0 in.2

Answer 1

A = 483.0 in²

Explanation:

Step 1: Given data

• Circumcircle radius of the polygon (R): 13.07 in

• Side length of the polygon (a): 10 in

Step 2: Find the area of the regular polygon

We have a regular polygon with 8 sides, that is, an octagon. We can calculate the area (A) of an octagon using the following expression.

A = 2 × √2 × R²

A = 2 × √2 × (13.07 in)²

A = 483.0 in²