Need to find the formula for the area of an equilateral triangle cross section bound by the semicircles -sqrt(36-x^2) and sqrt(36-x^2)

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Need to find the formula for the area of an equilateral triangle cross section bound by the semicircles -sqrt(36-x^2) and sqrt(36-x^2)

Mathematics
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|dw:1326859128273:dw| From the diagram: sin 30 = 1/2 = h/6 --> h = 3 cos 30 = sqrt3/2 = x/6 --> x = 3sqrt3 Area = x(6+h)

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