Geometry
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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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(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) / ...
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