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1.5.4 Radian measure (A-level only)

1.5.4 Radian measure (A-level only)

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Question 14

A sector of a circle, with radius rrr cm and angle θ\thetaθ radians, has an area of 12 cm212\text{ cm}^212 cm2 and a perimeter of 14 cm14\text{ cm}14 cm.

a.

Show that 3θ2−13θ+12=03\theta^2 - 13\theta + 12 = 03θ2−13θ+12=0 is NOT correct for these values, and instead find the correct quadratic equation in terms of θ\thetaθ only, in the form aθ2+bθ+c=0a\theta^2 + b\theta + c = 0aθ2+bθ+c=0.

[5]
b.

Hence find the possible pairs of values for rrr and θ\thetaθ.

[4]
Markscheme

1.5.4 Radian measure (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.5.4 Radian measure (A-level only)

21 exam-style questions on OCR A Level Maths 1.5.4 Radian measure (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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