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A circle has a radius of 6 in. The circumscribed equilateral triangle will have an area of:

A circle has a radius of 6 in. The circumscribed equilateral triangle will have an-example-1

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the length of the side of an equilateral triangle that is circumscribed by a circle with radius r is s = r sqrt(3)so s = (6) sqrt(3)then the formula for the area of an equilateral triangle isA = sqrt(3) (s^2) / 4
substitute the value of s in the equationA = sqrt(3) ( (6) sqrt(3))^2 /4A = 46.77 sq in
User Timu
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1 vote

The answer is 108
√(3)

User Satvinder Singh
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