IB Math HL Trigonometry Test 5 2016 P2 Q2

IB Math HL Trigonometry Test 5 2016 P2 Q2

IB Year 6 | Grade 12
7 marks

A circle has centre \(O\) and radius \(4\text{ cm}\). Points \(A,B,C\) lie on the circle, and \(D\) lies outside it on line \(OC\). Also \(\angle ADC=0.3\) radians and \(\angle AOC=0.8\) radians.

  1. Find \(OD\).[3]
  2. Find the area of region \(ABCD\).[4]

Solution:

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Answer:(a) \(12.1\text{ cm}\). (b) \(10.9\text{ cm}^2\) (3 s.f.).

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