SOLUTION: A factory is printing a large square design on a circular tablecloth. The square design should be as large as possible. The tablecloth has an area of 30 square feet. What should be

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Question 1079916: A factory is printing a large square design on a circular tablecloth. The square design should be as large as possible. The tablecloth has an area of 30 square feet. What should be the maximum side length of the square design? What area of the tablecloth will not be printed with the square design?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
pi%2Ar%5E2=30

r%5E2=30%2Fpi

r=sqrt%2830%2Fpi%29
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x, side length of the square print area of the maximum size

x%5E2=r%5E2%2Br%5E2
x=sqrt%282%2Ar%5E2%29
x=r%28sqrt%282%29%29
x=sqrt%282%2A3%2A5%2Fpi%29sqrt%282%29
highlight%28x=2%2Asqrt%2815%2Fpi%29%29