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Question
A regular hexagon is inscribed in a circle of radius r. The perimeter of the regular hexagon is ______.
Options
3r
6r
9r
12r
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Solution
A regular hexagon is inscribed in a circle of radius r. The perimeter of the regular hexagon is 6r.
Explanation:
A regular hexagon comprises 6 equilateral triangles, each of them having one of their vertices at the centre of the hexagon.
The sides of the equilateral triangle are equal to the radius of the smallest circle inscribing the hexagon.
Hence, each side of the hexagon is equal to the radius of the hexagon and the perimeter of the hexagon is 6r.
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