SOLUTION: A circle is inscribed in an equilateral triangle, if the circumference of the circle is 3, find the perimeter of the equilateral triangle.

Question 1070269: A circle is inscribed in an equilateral triangle, if the circumference of the circle is 3, find the perimeter of the equilateral triangle.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
When a circle is inscribed in an equilateral triangle, the radius(r) of the inscribed circle is
:
r = s * square root(3) / 6, where s is the length of a side of the equilateral triangle
:
circumference(C) = 2 * pi * r
:
3 = 2 * pi * r
:
r = 3 / (pi * 2)
:
(3 / (pi * 2)) = s * square root(3) / 6
:
(18 / (pi * 2)) = s * square root(3)
:
s = 18 / ( pi * 2 * square(3)) = 1.654
:
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Perimeter of equilateral triangle is 3 * 1.654 = 4.962
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:
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