Markquill
Start free

CAIE A Level Mathematics 9709

Circular measure questions

Exam-style questions on Circular measure, ordered from foundation to challenge. Pick one, write your answer the way you would in the exam, and it comes back marked against the mark scheme, point by point.

Practise this topic free

Written by Markquill to follow the Cambridge International syllabus. Markquill is independent and is not affiliated with or endorsed by Cambridge International.

  1. 2 marksFoundationA sector of a circle has radius 5 cm and angle 1 rad. Find the arc length of the sector.
  2. 2 marksFoundationConvert 135° to radians, giving your answer as an exact multiple of π.
  3. 1 markFoundationConvert the angle 4π/2 radians to degrees. Give your answer as a number of degrees.
  4. 2 marksFoundationConvert the angle 120° to radians. Give your answer as an exact multiple of π.
  5. 2 marksFoundationA sector of a circle has radius 8 cm and angle 2 radians.
  6. 2 marksStandardA sector of a circle has radius 10 cm and angle 2 radians. Find the area of the sector.
  7. 3 marksStandardA sector of a circle has radius 6 cm and angle 1.75 radians. Find the perimeter of the sector.
  8. 4 marksChallengeA chord divides a circle of radius 9 cm into two segments. The smaller segment subtends an angle of π/3 radians at the centre. Find the exact area of the smaller segment, giving your answer in terms of π and simplified…
  9. 4 marksChallengeA sector of a circle of radius 6 cm has angle θ = π/3 radians. Find the exact area of the segment formed by removing the triangle from the sector.