Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The diagram displays a sector $OAB$ from a circle centred at $O$. The arc $AB$ measures 8 cm. The perimeter of the sector is stated to be 20 cm.
(a)[4]

Find the total perimeter of the shaded segment.

(b)[2]

Find the area of the shaded segment.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Solve $2r+8=20$ to get $r=6$.” …

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