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1.8 E: Trigonometry

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Question 138

A circular window in a design studio is represented by the equation x2+y2−20x+16y+4=0x^2 + y^2 - 20x + 16y + 4 = 0x2+y2−20x+16y+4=0 in a coordinate system where units are in decimetres.

A decorative structural beam forms a chord PQ PQ\,PQ across the window. The angle subtended by the chord PQ PQ\,PQ at the centre of the window is 1.4 radians.

Calculate the area of the minor segment created between the beam PQ PQ\,PQ and the arc of the window. Give your answer to three significant figures.

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Markscheme

1.8 E: Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.8 E: Trigonometry

317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context. Each one has a worked solution and a mark scheme showing where the marks go.

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