Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The diagram represents a sector of a circle with centre O and radius r cm. The chord AB splits the sector into triangle AOB and segment AXB. Angle AOB measures \theta radians.
(i)[2]

When the areas of triangle AOB and segment AXB are the same, find the value of the constant p in \theta = p\sin\theta.

(ii)[3]

With r = 8 and \theta = 2.4, determine the perimeter of segment AXB.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Writes a correct equation using the sector and triangle areas

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