Answer:
The correct answer is that the area of the regular octagon is 309 cm²
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
Area = 309 cm² (Rounding to the nearest tenth)
Note: Same answer to question 14318729, answered by me today.
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.
