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3 years ago

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

Mathematics

2 answers:

Maurinko [17]3 years ago

8 0

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

Margaret [11]3 years ago

8 0

The answer is 108 $\sqrt{3}$

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The diagram of the problem is drawn and attached.

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