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Westkost [7]
4 years ago
10

*trigonometry and area*

Advanced Placement (AP)
2 answers:
kumpel [21]4 years ago
7 0

Answer:

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

<u>Step-by-step explanation:</u>

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>

Note: Same answer to question 14318729, answered by me today.

forsale [732]4 years ago
4 0

Answer:

166.3 cm^2 to nearest tenth.

Explanation:

A hexagon is made up of 6 equilateral triangles.

Area of 1 triangle = 1/2 * 8 * height.

Using trig to find the height:

tan 60 = h / 4

h = 4 tan 60  = 6.928 cm

So the area of a triangle = 1/2 * 8 * 6.928

and area of the hexagon = 6 * 1/2  * 8 * 6.928

= 166.28 cm^2.

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