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Engineering Mathematics Question on Polar form of complex number

Let rr and θ\theta be the polar coordinates defined by x=rcos⁡θx = r \cos \theta and y=rsin⁡θy = r \sin \theta. The area of the cardioid r=a(1−cos⁡θ)r = a (1 - \cos \theta), 0≤θ≤2π0 \leq \theta \leq 2\pi, is:
polar coordinates

A

3πa22\frac{3\pi a^2}{2}

B

2πa22\frac{2\pi a^2}{2}

C

3πa23\pi a^2

D

2πa22\pi a^2

Answer

3πa22\frac{3\pi a^2}{2}

Explanation

Solution

The correct Answers are (A) :3πa22\frac{3\pi a^2}{2}