Mathematics 0580 · IGCSE · Circles, arcs and sectors

Circles, arcs and sectors — practice question

The diagram depicts a major sector, AOB, of a circle. Its angle is 240^{\circ} and the radius measures 12 cm.
(a)[1]

Demonstrate that the length of the major arc AB is $16\pi$ cm.

(b)[6]

Work out the volume of the cone. Give your answer in the form $\frac{(a\sqrt{b})\pi}{3}$ where a is an integer and b is a prime number.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Hence, \(\frac{240}{360}\times2\times\pi\times12\) oe

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