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The area of the square is 100 square centimeters. What is the area of the circle?

The area of the square is 100 square centimeters. What is the area of the circle?-example-1

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area of the circle: 78.55 centimeters
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length \: of \: 1 \: side = diameter


area \: = {l}^(2) \\ 100 = {l}^(2) \\ √(100) = l \\ l = 10


diameter = 2 * radius \\ 10 = 2 * radius \\ radius = 5


circle \: area = pi * {r}^(2) \\ circle \: area = 3.142 * {5}^(2) \\ circle \: area = 3.142 * 25 \\ circle \: area = 78.55 {cm}^(2)

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