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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 57
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]
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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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