(a)[2]
Show that the length of $RS$ is $8\,\text{cm}$.
(b)[2]
Find angle $RPQ$ in radians, correct to $4$ significant figures.
(c)[4]
Find the area enclosed by the shaded region.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram contains two circles, $C_1$ and $C_2$, which are touching at point $T$. $C_1$ has centre $P$ and radius $8\,\text{cm}$, while $C_2$ has centre $Q$ and radius $2\,\text{cm}$. The points $R$ and $S$ lie on $C_1$ and $C_2$ respectively, and $RS$ is tangent to both circles.