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20 questions and an answer page, sized for A4.

Arc length and sector area

Year 10 · Measurement · 20 questions

Name
Date
  1. 1.
    A sector has radius 10 cm and angle 30°. Find its area in cm² (π ≈ 3.14, one decimal place).
  2. 2.
    A sector has radius 6 cm and angle 180°. Find its area in cm² (π ≈ 3.14, one decimal place).
  3. 3.
    A sector has radius 5 cm and angle 135°. Find its area in cm² (π ≈ 3.14, one decimal place).
  4. 4.
    A sector has radius 5 cm and angle 270°. Find the arc length in cm (π ≈ 3.14, one decimal place).
  5. 5.
    A sector has radius 2 cm and angle 90°. Find its area in cm² (π ≈ 3.14, one decimal place).
  6. 6.
    A sector has radius 9 cm and angle 270°. Find its area in cm² (π ≈ 3.14, one decimal place).
  7. 7.
    A sector has radius 4 cm and angle 30°. Find its area in cm² (π ≈ 3.14, one decimal place).
  8. 8.
    A sector has radius 2 cm and angle 60°. Find its area in cm² (π ≈ 3.14, one decimal place).
  9. 9.
    A sector has radius 2 cm and angle 135°. Find the arc length in cm (π ≈ 3.14, one decimal place).
  10. 10.
    A sector has radius 8 cm and angle 150°. Find its area in cm² (π ≈ 3.14, one decimal place).
  11. 11.
    A sector has radius 2 cm and angle 240°. Find the arc length in cm (π ≈ 3.14, one decimal place).
  12. 12.
    A sector has radius 4 cm and angle 270°. Find the arc length in cm (π ≈ 3.14, one decimal place).
  13. 13.
    A sector has radius 10 cm and angle 150°. Find its area in cm² (π ≈ 3.14, one decimal place).
  14. 14.
    A sector has radius 6 cm and angle 240°. Find the arc length in cm (π ≈ 3.14, one decimal place).
  15. 15.
    A sector has radius 2 cm and angle 240°. Find its area in cm² (π ≈ 3.14, one decimal place).
  16. 16.
    A sector has radius 7 cm and angle 90°. Find the arc length in cm (π ≈ 3.14, one decimal place).
  17. 17.
    A sector has radius 3 cm and angle 60°. Find the arc length in cm (π ≈ 3.14, one decimal place).
  18. 18.
    A sector has radius 3 cm and angle 150°. Find its area in cm² (π ≈ 3.14, one decimal place).
  19. 19.
    A sector has radius 9 cm and angle 240°. Find its area in cm² (π ≈ 3.14, one decimal place).
  20. 20.
    A sector has radius 11 cm and angle 120°. Find the arc length in cm (π ≈ 3.14, one decimal place).

Free maths worksheets and practice: rocketdigits.com/learn/arc-length-and-sector-area

Answers: Arc length and sector area

  1. 26.2
  2. 56.5
  3. 29.4
  4. 23.6
  5. 3.1
  6. 190.8
  7. 4.2
  8. 2.1
  9. 4.7
  10. 83.7
  11. 8.4
  12. 18.8
  13. 130.8
  14. 25.1
  15. 8.4
  16. 11.0
  17. 3.1
  18. 11.8
  19. 169.6
  20. 23.0

Free maths worksheets and practice: rocketdigits.com/learn/arc-length-and-sector-area

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