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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 18

Figure 1 below shows the sector OAB OAB\,OAB of a circle. The chord AB AB\,AB divides the sector into a triangle and a shaded segment.

Figure for question 1

The angle AOB AOB\,AOB is π6\displaystyle \frac{\pi}{6}6π​ radians and the radius of the sector is 106 10\sqrt{6}\,106​ m.

Show that the area of the shaded segment is

k(π−3)k(\pi - 3)k(π−3) m2^22

where k k\,k is an integer to be found.

[5]
Markscheme

3.4 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Trigonometry (A-level only)

221 exam-style questions on CCEA A Level Maths 3.4 Trigonometry (A-level only), covering 3.4.1 Trigonometry (A-level only), 3.4.2 Trigonometry (A-level only), 3.4.3 Trigonometry (A-level only), 3.4.4 Trigonometry (A-level only), 3.4.5 Trigonometry (A-level only), 3.4.6 Trigonometry (A-level only), 3.4.7 Trigonometry (A-level only), and 3.4.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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