Hello all. Where can I find proof that the area of a circle can be calculated using the formula πr^{2}? Any response will be greatly appreciated, thank you.
And, of course, the area of a circle of radius R, with center at the origin of a coordinates system is the integral
∫_{-R}^{R}2√(R^{2}- x^{2})dx. That gives πR^{2} as the area.
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