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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 126

A graphic designer is creating a logo that includes a 'shard' element. This shard is defined as the segment of a circle with centre C C\,C and radius 43 cm4\sqrt{3}\text{ cm}43​ cm. The segment is bounded by the chord PQ PQ\,PQ and the arc PQPQPQ, where the angle subtended at the centre, ∠PCQ\angle PCQ∠PCQ, is π3\displaystyle \frac{\pi}{3}3π​ radians.

Show that the area of the shard is

k(2π−33) cm2 k(2\pi - 3\sqrt{3})\text{ cm}^2 k(2π−33​) cm2

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

[6]
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3.5 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5 Trigonometry (A-level only)

225 exam-style questions on WJEC A Level Maths 3.5 Trigonometry (A-level only), covering 3.5.1 Trigonometry (A-level only), 3.5.2 Trigonometry (A-level only), 3.5.3 Trigonometry (A-level only), 3.5.4 Trigonometry (A-level only), 3.5.5 Trigonometry (A-level only), 3.5.6 Trigonometry (A-level only), 3.5.7 Trigonometry (A-level only), and 3.5.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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