Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The diagram depicts a circle with centre $O$ and radius $r$ cm. The points $A$ and $B$ are on the circle, and angle $AOB = 2\theta$ radians. The tangents drawn to the circle at $A$ and $B$ intersect at $T$.
(i)[3]

Write the perimeter of the shaded region in terms of $r$ and $\theta$.

(ii)[4]

When $r = 5$ and $\theta = 1.2$, find the area 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: Arc length $AB=2r\theta$

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