CAIE A Level Mathematics 9709 · Circular measure

Circular measure: calculation question

4 marksChallenge

A chord divides a circle of radius 9 cm into two segments. The smaller segment subtends an angle of π/3 radians at the centre. Find the exact area of the smaller segment, giving your answer in terms of π and simplified surds where appropriate.

  1. (a)

    Find the exact area of the smaller segment.

    [4]

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