Mathematics 4024 · O Level · Circles, arcs and sectors

Circles, arcs and sectors — practice question

The diagram depicts two circles that share centre $O$. The smaller circle has radius $3$ cm, and the larger circle has radius $6$ cm. Minor sector $AOB$ subtends an angle of $60^\circ$. The combined area of the shaded parts is $k\pi\,\text{cm}^2$.
(main)[4]

Find $k$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Large sector area

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