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Arisa [49]
3 years ago
10

What is the sum of the angles of an octagon?

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0
Answer is 1080 degrees

Formula for calculating angles in a polygon (Shape with 4 or more sides) is (n-2) x 180, where n is the number of sides on the shape. Octagon has eight sides, so you subtract it by 2, which is 6. Multiply that by 180 to get 1080, which is the sum of the angles.

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Answer:

The area of the regular hexagon is 166.3\ units^{2}

Step-by-step explanation:

we know that

The area of a regular hexagon can be divided into 6 equilateral triangles

so

step 1

Find the area of one equilateral triangle

A=\frac{1}{2}(b)(h)

we have

b=r=8\ units

h=4\sqrt{3}\ units ----> is the apothem

substitute

A=\frac{1}{2}(8)(4\sqrt{3})

A=16\sqrt{3}\ units^{2}

step 2

Find the area of 6 equilateral triangles

A=(6)16\sqrt{3}=96\sqrt{3}=166.3\ units^{2}

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Step-by-step explanation:

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