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Determine the value of $k$ and the value of $c$.
Mathematics 0580 · IGCSE · Circles, arcs and sectors
Circles, arcs and sectors — practice question
The diagram depicts a sector of a circle, with centre O and radius 6 cm. Its sector angle measures 30^{\circ}. The area of the shaded segment is $(k\pi - c)$ cm$^2$, with $k$ and $c$ being integers.