Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The diagram depicts sector $OAB$ from a circle with centre $O$ and radius $r$ cm. The angle $AOB = \theta$ radians. You are told that arc length $AB$ is $9.6$ cm and that sector area $OAB$ is $76.8$ cm$^2$.
(a)[5]
Calculate the area of the shaded region.
(b)[2]
Calculate the perimeter of the shaded region.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the area link between the sector and the triangle” …