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Question 86

Sector ABC is a sector of a circle, centre A and and radius k k\,k m, where k k\,k is a positive constant. Angle BAC = 0.5 radians

Diagram of a circle sector ABC with centre A, radius k m, and angle BAC = 0.5 radians. M is the midpoint of AC. The shaded region is bounded by the arc BC and the line segments BM and MC.

a.

Find the length of the arc BC in terms of kkk

[2]
b.

Calculate the area of the sector ABC in terms of kkk

[2]
c.

Given that M is the midpoint of AC, find the perimeter of the shaded region in terms of kkk

[4]
d.

Find the area of the shaded region in terms of kkk

[4]
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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