Area in polar coordinatesEdexcel International A Level Further Maths: Mind map

Exam questions on Area in polar coordinates

1. The curve $C$ has polar equation $r=4\cos\theta$, for $-\frac{\pi}{2}\le\theta\le\frac{\pi}{2}$.
   Find the exact area of the region bounded by $C$ and the half-lines $\theta=0$ and $\theta=\frac{\pi}{4}$.2 marks
2. The spiral $S$ has polar equation $r=2\theta$, for $\theta\ge0$.
   Find the exact area of the region bounded by $S$ and the half-lines $\theta=\pi$ and $\theta=2\pi$.2 marks
3. The curve $C$ has polar equation $r=3+2\cos\theta$, for $0\le\theta\le2\pi$.
   Show that the area enclosed by $C$ is $11\pi$.3 marks