Mathematics
For a regular hexagon of perimeter 18 cm inscribed in a circle, the radius of the circle is :
6 cm
9 cm
3 cm
none of these
Constructions
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Answer
We know that,
A regular hexagon comprises 6 equilateral triangles.
∴ BAC is an equilateral triangle.
∴ AB = BC = CA.
From figure,
AB and AC are radius of the circle.
In a regular hexagon, length of each side is equal.
Thus,
BC = = 3 cm.
∴ AB = AC = 3 cm
Thus, radius of circle = 3 cm.
Hence, Option 3 is the correct option.
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