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Determine the value of $k$.
Mathematics 0580 · IGCSE · Circles, arcs and sectors
Circles, arcs and sectors — practice question
AB is an arc of a circle with centre $O$ and radius 9 cm. The length of arc $AB$ is $6\pi$ cm. The area of sector $AOB$ is $k\pi$ cm$^2$. The diagram shows sector $AOB$ with $OB = 9$ cm. The diagram is NOT TO SCALE.