Engineering Board Exam Reviewer · Polygons · hard

Find the area of a regular hexagon with side length 8 cm.

1. 166.28 cm2
2. 192.00 cm2
3. 138.56 cm2
4. 83.14 cm2

Answer

A. 166.28 cm2

Solution

Area =3 3/2s2=3 3/2(64)=96 3 166.28 cm2.

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1. A regular polygon has an interior angle of 165°. Find the number of sides.
2. Find the sum of the interior angles of a 12-sided polygon (dodecagon).
3. Find the measure of each interior angle of a regular nonagon (9 sides).
4. How many sides does a regular polygon have if each exterior angle measures 24°?
5. Find the number of diagonals in a regular polygon with 15 sides.
6. The sum of the interior angles of a polygon is 1980°. How many sides does it have?

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