Mathematics 0580 · IGCSE · Circles, arcs and sectors

Circles, arcs and sectors — practice question

Points $A$ and $B$ are located on a circle with centre $O$ and radius $r$. The diagram depicts triangle $AOB$ with a right angle at $O$. Since both $OA$ and $OB$ are radii of the circle, the circle has area $120\text{ cm}^2$.
(main)[3]

Calculate the area of the right-angled triangle $AOB$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct use of $\frac{1}{2}\pi r^{2}$

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