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Radians

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Question 3

The diagram shows a circle, with centre CCC, with equation (x+k)2+(y+1)2=25(x + k)^2 + (y + 1)^2 = 25(x+k)2+(y+1)2=25, where 0<k<260 < k < 2\sqrt{6}0<k<26​. The circle intersects the xxx-axis at A A\,A and intersects the yyy-axis at BBB. The sector ABC ABC\,ABC is shown on the diagram.

Diagram for question 12

a.

Shown that angle ACB=cos⁡−1(2k6+25−k225)ACB = \cos^{-1}\left(\dfrac{2k\sqrt{6}+\sqrt{25-k^2}}{25}\right)ACB=cos−1(252k6​+25−k2​​) radians.

[5]
b.

Find, in terms of kkk, the perimeter of sector ABCABCABC.

[3]
Markscheme

Radians Questions

  1. A Level
  2. /Maths
  3. /Radians

278 exam-style questions on Edexcel A Level Maths Radians, covering 5.1 Radian Measure, 5.2 Arc Length, 5.3 Areas of Sectors and Segments, 5.4 Solving Trigonometric Equations, and 5.5 Small Angle Approximations. Each one has a worked solution and a mark scheme showing where the marks go.

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