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Determine the value of $k$.
Mathematics 0580 · IGCSE · Circles, arcs and sectors
Circles, arcs and sectors — practice question
The diagram illustrates shape $ABCD$, which is created from sectors of two circles with the same centre $O$. Each sector has an angle of $140^{\circ}$, $OC = 3.2\text{ cm}$ and $CB = 2.6\text{ cm}$. The area of the shape is $k\pi\text{ cm}^2$.