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3 Unit A2 1: Pure Mathematics (A-level only)

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Question 50

Two sectors have the same arc length. Their radii are r r\,r and 2r2r2r, and the angle of the larger sector is π3\displaystyle \frac{\pi}{3}3π​ radians less than the angle of the smaller sector. The sum of their areas is 27 cm2^22.

Find, in exact form, the two radii, the two angles and the common arc length.

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3 Unit A2 1: Pure Mathematics (A-level only) Questions

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