SOLUTION: A regular hexagon is inscribed in a circle. Find the ratio of the area of the hexagon to the area of the circle.
Example of diagram: https://imgur.com/a/z81W87V
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Question 1149201: A regular hexagon is inscribed in a circle. Find the ratio of the area of the hexagon to the area of the circle.
Example of diagram: https://imgur.com/a/z81W87V
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Draw the three diagonals of the hexagon that connect opposite vertices, dividing the hexagon into 6 equilateral triangles.
The side length of the hexagon, and therefore the side length of each equilateral triangle, is the same as the radius of the circle.
Area of hexagon = area of 6 equilateral triangles with radius r =
Area of circle =
Ratio of areas =
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