Skip to content

Course home

Radians

Radians

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263
Question 22

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

Diagram of a circular sector AOB with center O. The radius OA is 6 cm and the radius OB is 6 cm. The central angle AOB is 40 degrees.

Area=12r2θ=12×62×40=58 cm2 \begin{aligned} \text{Area} &= \frac{1}{2} r^2 \theta \\ &= \frac{1}{2} \times 6^2 \times 40 \\ &= 58 \text{ cm}^2 \end{aligned} Area​=21​r2θ=21​×62×40=58 cm2​
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

69 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.

Question bank