# Geometry

1. The area of a regular hexagon is 900ft². Find the length of its side and the radius of the circumscribing circle.

2. Find the perimeter and area of a decagon inscribed in a circle of radius 10 inches.

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#### Solution Preview

(1) Area of the hexagon = 900 ft^2

Area of one of the six triangles = 900/6 = 150 ft

Since each triangle is equilateral, we have : side^2 = (4 / sqrt 3) * area

= (4 / sqrt 3) * 150 = (600 sqrt 3) / ...

#### Solution Summary

Neat, step-wise soltuion is provided.

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