(i)[1]
Show that angle $BAO$ is equal to $0.3948$ radians, correct to $4$ decimal places.
(ii)[5]
Calculate the area of the shaded part.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram depicts triangle $AOB$, where $OA$ measures $12\,\text{cm}$, $OB$ measures $5\,\text{cm}$, and angle $AOB$ is a right angle. Point $P$ lies on $AB$, and $OP$ is an arc of a circle with centre $A$. Point $Q$ lies on $AB$, and $OQ$ is an arc of a circle with centre $B$.