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Question 56

Sector AOB is a sector of a circle. A student's attempt to find the size of angle AOB is shown below.

Diagram of a circular sector AOB with centre O, radii of 6 cm and area 4\pi\, cm^2.

Area=12r2θ4π=12×62×θθ=2π9∘ \begin{aligned} \text{Area} &= \frac{1}{2}r^2\theta \\ 4\pi &= \frac{1}{2}\times 6^2\times\theta \\ \theta &= \frac{2\pi}{9}^{\circ} \end{aligned} Area4πθ​=21​r2θ=21​×62×θ=92π​∘​
a.

Identify the mistake made by the student.

[1]
b.

Write out a correct solution.

[2]
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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