(i)[1]
Show that angle $ABP = 0.6435$ radians, correct to 4 decimal places.
(ii)[3]
Calculate the areas of sectors $BAP$ and $DAQ$.
(iii)[3]
Calculate the area of the shaded region.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram depicts a rectangle $ABCD$ where $AB = 5$ units and $BC = 3$ units. Point $P$ is on $DC$, and $AP$ is an arc of a circle with centre $B$. Point $Q$ is on $DC$, and $AQ$ is an arc of a circle with centre $D$.