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1.8 E: Trigonometry

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Question 59
23%

The boundary of a circular wildlife sanctuary is modeled by the equation x2+y2−14x+8y=175x^2 + y^2 - 14x + 8y = 175x2+y2−14x+8y=175, where distances are measured in kilometers.

A straight firebreak path connects two points A A\,A and B B\,B on the boundary. The angle subtended by the arc AB AB\,AB at the center of the sanctuary is 1.4 radians.

Calculate the area of the region bounded by the arc AB AB\,AB and the straight path ABABAB (the minor segment).

Give your answer to three significant figures.

[6]
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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