IB Math HL Trigonometry Test 1 2012 P2 Q2

IB Math HL Trigonometry Test 1 2012 P2 Q2

IB Year 6 | Grade 12
5 marks

The diagram shows a circle with centre \(O\) and radius \(r\). The angle \(AOB=\theta\) radians.

Find \(\theta\), given that \(\frac{\text{shaded area}}{\text{area of sector}\hspace{0.5em}OAB}=\frac12\).[5]

Solution:

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Answer:\(\theta=1.90\text{ rad}\) (3 s.f.).

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