Mathematics 4024 · O Level · Circles, arcs and sectors

Circles, arcs and sectors — practice question

The circle is centred at $O$, and AC and BD are diameters. Here, $AC = 12\,\text{cm}$ and $\angle A\hat{O}B = 130^\circ$.
(a)[2]

Calculate the area enclosed by triangle $AOB$.

(b)[2]

Calculate the area enclosed by sector $AOD$.

(c)[4]

Calculate what percentage of the circle's area is shaded.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Formula: $\tfrac12 r^2\sin130$

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