(a)[3]
Calculate the length of $AP$.
(b)[3]
Determine the area of the shaded region $APB$.
Mathematics 0580 · IGCSE · Circles, arcs and sectors
Circles, arcs and sectors — practice question
The figure shows $OAB$ as a sector of a circle with centre $O$. $OB = 8\,\text{cm}$ and the angle $AOB = 30^\circ$. $BP$ is drawn perpendicular to $OA$. The points are marked $O$, $A$, $B$, $P$. The diagram is NOT TO SCALE. The shaded part is $APB$.