Question

*trigonometry and area.*

Find the area of a regular octagon with a side length of 8cm. Round to the nearest tenth.

Answer 1

The correct answer is that the area of the regular octagon is 309 cm²

Explanation:

There are several formulas for calculating the area of a regular octagon. We will use this one for solving this question because it does not require additional information .

Area = (2 * s²)/tan 22,5°

s = 8 cm

Replacing with the real values, we have:

Area = (2 * 8²)/tan 22,5°

Area = 2 * 64/0.4142

Area = 128/0.4142

Area = 309 cm² (Rounding to the nearest tenth)