IB Math HL Trigonometry Test 6 2018 P2 Q5

IB Math HL Trigonometry Test 6 2018 P2 Q5

IB Year 6 | Grade 12
10 marks

Two intersecting circles have radii \(6\) and \(11\), and their centres \(A,B\) are \(13\) units apart. Segment \(MN\) is tangent to both circles.

  1. Find \(MN\).[2]
  2. Find \(\angle ABN\).[2]
  3. Find the total area covered by the two circles.[6]

Solution:

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Answer:(a) \(12\). (b) \(1.18\text{ rad}=67.4^\circ\). (c) \(465\) square units (3 s.f.).

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