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Calculate the area of the shaded region $EFG$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The figure depicts triangle $ABC$, with $AB = 5$ cm, $AC = 4$ cm and $BC = 3$ cm. There are three circles centred at $A$, $B$ and $C$ with radii $3$ cm, $2$ cm and $1$ cm, respectively. The circles are tangent to one another at points $E$, $F$ and $G$, which lie on $AB$, $AC$ and $BC$ respectively.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct angle values, for instance $\sin^{-1}(3/5)$ and $\sin^{-1}(4/5)$.” …
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