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Trigonometric Ratios

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Question 68

A sector AOB with centre O, radii OA and OB, a 35° angle at O, and a grey shaded segment between chord AB and the curved arc.

The diagram shows sector AOB AOB\,AOB of a circle with centre O O\,O and radius k cmk\text{ cm}k cm, where k>0k>0k>0. Angle AOB=35∘AOB = 35^\circAOB=35∘

a.

Calculate the length of the straight line AB AB\,AB in terms of kkk.

[2]
b.

Find the area of the shaded segment in terms of kkk.

[3]
Markscheme

Trigonometric Ratios Questions

  1. A Level
  2. /Maths
  3. /Trigonometric Ratios

217 exam-style questions on Edexcel A Level Maths Trigonometric Ratios, covering 9.1 The Cosine Rule, 9.2 The Sine Rule, 9.3 Areas of Triangles, 9.4 Solving Triangle Problems, 9.5 Graphs of Sine, Cosine and Tangent, and 9.6 Transforming Trigonometric Graphs. Each one has a worked solution and a mark scheme showing where the marks go.

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