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NO LINKS!! URGENT HELP PLEASE!!!

O is the center of the decagon below. Find its area. Round to the nearest tenth if necessary.

NO LINKS!! URGENT HELP PLEASE!!! O is the center of the decagon below. Find its area-example-1

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Answer:

752.4

Explanation:

Here we are provided with a decagon which has 10 sides.

The total interior angle is 360°.

So each will have 360/10 = 36 degrees

Half of that is 18 degrees inside the triangle.

Refer to the attachment below.

opposite = 16sin(18)

adjacent = 16cos(18)

Find the area of this triangle:

= 1/2 × 16sin(18) × 16cos(18)

= 37.61825

There are 20 triangles just like this so the total area is (37.61825 × 20) = 752.365 ≈ 752.4 unit2

NO LINKS!! URGENT HELP PLEASE!!! O is the center of the decagon below. Find its area-example-1
NO LINKS!! URGENT HELP PLEASE!!! O is the center of the decagon below. Find its area-example-2
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