Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram depicts a circle centred at $A$ with radius $5\,\text{cm}$ and another circle centred at $B$ with radius $8\,\text{cm}$. They are tangent at $C$, with $A$, $C$ and $B$ lying on one straight line. The tangent drawn at $D$ on the smaller circle meets the larger circle at $E$ and goes through $B$.
(a)[5]

Determine the perimeter of the shaded region.

(b)[3]

Determine the area of the shaded region.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Suitable trigonometric ratio, for example $\tan A=\frac{12}{5}$

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