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AURORKA [14]
3 years ago
7

*trigonometry and area.*

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
6 0

Answer:

<u>The correct answer is that the area of the regular octagon is 309 cm²</u>

Step-by-step 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

<u>Area = 309 cm² (Rounding to the nearest tenth)</u>

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