# Area between the curves

Calculus Level pending

Find the area common to the circle $$r=a$$ and the curve $$r=a\left( 1+\cos { \theta } \right)$$, where $$a$$ is a constant and $$r$$ and $$\theta$$ are polar co-ordinates. If the answer is $$c{ a }^{ 2 }$$, report the value of $$c$$ after rounding off to three decimal places.

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