Mathematics 4024 · O Level · Circles, arcs and sectors

Circles, arcs and sectors — practice question

The diagram represents a sector of a circle with radius $3r\text{ cm}$ and angle $a\degree$, together with a circle of radius $r\text{ cm}$. The area ratio of the sector to the circle with radius $r$ cm is $8:1$.
(a)[3]

Find $a$.

(b)[2]

Find an expression, in terms of $\pi$ and $r$, for the perimeter of the sector.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\frac{a}{360} \times \pi \times (3r)^2$

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