(a)[3]
Find the perimeter of the shaded region shown.
(b)[3]
Find the area enclosed by the shaded region.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The diagram depicts triangle $OAB$ with $OA = OB = 10\text{ cm}$ and $\angle AOB = 0.8$ radians. Let $C$ and $D$ lie on $OA$ and $OB$ respectively, so that the arc $CD$ belongs to a circle centred at $O$ with radius $6\text{ cm}$. The shaded part is enclosed by the arc $CD$ together with the line segments $CA$, $AB$ and $BD$.