The following formula, circumference squared/4 pi, is used to calculate the area of a _________.

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The following formula, circumference squared/4 pi, is used to calculate the area of a _________.
posted Oct 17, 2016

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Circle

Circumference:
2*Pi*R

Area of Circle:
Pi * R^2
=>4 * Pi * R^2 / 4
=> 4*Pi^2*R^2/ (4*Pi)
=> (2*Pi*R)^2/(4*Pi)
=> Circumference^2/(4*Pi)

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Area of a circle

Circumference = 2*Pi*R
Hence Circumference squared = 4 * Pi^2 * R^2
So Circumference squared/4Pi = 4 * Pi^2 * R^2/(4 * Pi) = Pi*R^2
= Area of Circle

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