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Form 4 Mathematics Paper 1 Exam Revision Questions With Answers

The figure shows two circles centres C and D of radii 8 cm and 10 cm respectively. The two circles subtend angles θ and β respectively at their centres and intersect at A and B as shown.

a) Given that the area of triangle $ACB = 30.07 cm^2$ and that of triangle $ADB = 43.30 cm^2$ , calculate the size of the
i. angle marked θ.
ii. angle marked β.
b) Calculate to 2 decimal places the area of
i. sectors ACB and ADB
ii. the shaded region

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