IB Math HL Trigonometry Test 3 2014 P2 Q2

IB Math HL Trigonometry Test 3 2014 P2 Q2

IB Year 6 | Grade 12
5 marks

A circle has centre \(O\), radius \(r\), and \(\angle AOB=\theta\) radians. The shaded minor segment is equal in area to triangle \(OAB\).

Find \(\theta\).[5]

Solution:

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

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