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
(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) / ...
Neat, step-wise soltuion is provided.