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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