(a)[2]
Determine the angle $BOC$.
(b)[4]
Hence determine the area of the shaded region $BPC$, giving your answer correct to $3$ significant figures.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram depicts the sector $OBAC$ of a circle that has centre $O$ and radius $10\,\text{cm}$. Point $P$ is on $OC$, and $BP$ is at right angles to $OC$. The angle $AOC = \frac{\pi}{6}$, while the arc length $AB$ is $2\,\text{cm}$.