Engineering Board Exam Reviewer · Polygons · medium

A regular polygon has an interior angle of 165°. Find the number of sides.

1. 24
2. 20
3. 18
4. 30

Answer

A. 24

Solution

Exterior angle =180°-165°=15°. n=360°/15°=24.

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1. A regular hexagon is inscribed in a circle of radius 8. Find the area inside the circle but outside the hexagon.
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5. Find the area of a regular octagon whose side is 4.
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7. Find the area of a regular hexagon whose side is 6.
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