Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The diagram depicts a metal plate formed by cutting out a segment from a circle with centre $O$ and radius $8$ cm. The line $AB$ is a chord of the circle, and the angle $AOB = 2.4$ radians.
(i)[2]

Find $AB$'s length.

(ii)[3]

Find the plate's perimeter.

(iii)[3]

Find the plate's area.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies the cosine rule or $2r^2\sin \frac{\theta}{2}$ correctly

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