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Question
Express the area A of circle as a function of its circumference C.
Solution
If C is the circumference and r is the radius of the circle, then C = 2πr
∴ r = `"C"/(2pi)`
∴ the area A of the circle is given by
A = πr2
= `pi("C"/(2pi))^2`
= `"C"^2/(4pi)`
∴ A = `"C"^2/(4pi)`
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