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    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.

    © BrainMass Inc. brainmass.com October 9, 2019, 9:46 pm ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/197020

    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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