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

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