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Find sector area and arc length in terms of pi

Grade 10 math · Fieldbook Learning

Name ______________________ Date __________

Find the fraction of the circle: angle ÷ 360°.

  1. An arc has a central angle of 300° on a circle with radius 30 cm. What is its length? Write it as a multiple of π.
  2. An arc has a central angle of 210° on a circle with radius 18 cm. What is its length? Write it as a multiple of π.
  3. An arc has a central angle of 45° on a circle with radius 24 cm. What is its length? Write it as a multiple of π.
  4. An arc has a central angle of 240° on a circle with radius 6 cm. What is its length? Write it as a multiple of π.
  5. An arc has a central angle of 60° on a circle with radius 9 cm. What is its length? Write it as a multiple of π.
  6. A sector has a central angle of 240° and a radius of 9 cm. What is its area? Write it as a multiple of π.
  7. A sector has a central angle of 180° and a radius of 2 cm. What is its area? Write it as a multiple of π.
  8. A sector has a central angle of 315° and a radius of 20 cm. What is its area? Write it as a multiple of π.
  9. A sector has a central angle of 120° and a radius of 24 cm. What is its area? Write it as a multiple of π.
  10. A sector has a central angle of 165° and a radius of 24 cm. What is its area? Write it as a multiple of π.
  11. An arc has a central angle of 150° on a circle with radius 6 cm. What is its length? Write it as a multiple of π.
  12. An arc has a central angle of 30° on a circle with radius 6 cm. What is its length? Write it as a multiple of π.
  13. An arc has a central angle of 225° on a circle with radius 4 cm. What is its length? Write it as a multiple of π.
  14. An arc has a central angle of 180° on a circle with radius 5 cm. What is its length? Write it as a multiple of π.
  15. An arc has a central angle of 60° on a circle with radius 15 cm. What is its length? Write it as a multiple of π.
  16. A sector has a central angle of 180° and a radius of 16 cm. What is its area? Write it as a multiple of π.
  17. A sector has a central angle of 30° and a radius of 24 cm. What is its area? Write it as a multiple of π.
  18. A sector has a central angle of 120° and a radius of 3 cm. What is its area? Write it as a multiple of π.
  19. A sector has a central angle of 45° and a radius of 4 cm. What is its area? Write it as a multiple of π.
  20. A sector has a central angle of 315° and a radius of 24 cm. What is its area? Write it as a multiple of π.
More free practice: fieldbooklearning.com/ca/practice/grade-10/sector-area-and-arc-length/

Answer key: Find sector area and arc length in terms of pi

  1. 50π
  2. 21π
  3. 6π
  4. 8π
  5. 3π
  6. 54π
  7. 2π
  8. 350π
  9. 192π
  10. 264π
  11. 5π
  12. 1π
  13. 5π
  14. 5π
  15. 5π
  16. 128π
  17. 48π
  18. 3π
  19. 2π
  20. 504π