Find the area of the smaller part of the circle x^2+y^2=a^2cut of | Filo
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Class 12

Math

Calculus

Application of Integrals

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Find the area of the smaller part of the circle cut off by the line

Solution: Solution: require Area=

\displaystyle\Rightarrow{x}={a}{\Sin{\theta}}

when

when



\displaystyle={a}^{{2}}{\left[{\int_{{\frac{\pi}{{2}}}}^{{\frac{\pi}{{4}}}}}{\Cos{{2}}}\theta{d}\theta+\int{1}{d}\theta\right]}



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