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The area of a circle is the product of the square of its radius and pi while the circumference of a circle is the product of pi and twice the radius. Express the area as a function of its circumference
The area of a circle is the product of the square of its radius and pi while the circumference of a circle is the product of pi and twice the radius. Express the area as a function of its circumference
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The area of a circle is given by the formula A = π r2, where A is the area and r is the radius. The circumference of a circle is C = 2 π r. If we "solve for r" in the second equation, we have r = C / (2 π ). Now we use this to replace r in the first equation: A = π [ C / (2 π ) ]2.
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