Mathematics · important

Area of full circle by integration for JEE

Determining areas of the regions bounded by simple curves in standard forms

Formula

\[\text{Area of } x^2+y^2=a^2=4\int_0^a \sqrt{a^2-x^2}\,dx=\pi a^2\]

Variables: \(a\) is radius.

Conditions: \(a>0\).

Standard application of definite integrals to area.

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