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Arc Length (Year 11)

Free printable UK Year 11 (GCSE Foundation) maths worksheet: find the arc length of a circle sector, exactly in terms of pi and as a decimal.

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Grade 10 · Math worksheet
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Math

Arc Length

Find the arc length of a sector, exactly in terms of pi and as a decimal, or work backward from an arc length to find the sector's angle.

  1. 1.
    A sector of a circle has radius 12 cm and angle 90°. Find the arc length, (a) exactly in terms of pi, and (b) rounded to 1 decimal place.
  2. 2.
    A sector of a circle has radius 6 cm and angle 120°. Find the arc length, (a) exactly in terms of pi, and (b) rounded to 1 decimal place.
  3. 3.
    A sector of a circle has radius 8 cm and angle 90°. Find the arc length, (a) exactly in terms of pi, and (b) rounded to 1 decimal place.
  4. 4.
    A sector of a circle has radius 24 cm and angle 45°. Find the arc length, (a) exactly in terms of pi, and (b) rounded to 1 decimal place.
  5. 5.
    A sector of a circle has radius 4 cm and angle 90°. Find the arc length, (a) exactly in terms of pi, and (b) rounded to 1 decimal place.
  6. 6.
    A sector of a circle has radius 12 cm and arc length 6π cm. Find the angle of the sector.
  7. 7.
    A sector of a circle has radius 24 cm and arc length 6π cm. Find the angle of the sector.
  8. 8.
    A sector of a circle has radius 12 cm and arc length 4π cm. Find the angle of the sector.
  9. 9.
    A sector of a circle has radius 9 cm and arc length 6π cm. Find the angle of the sector.
  10. 10.
    A sector of a circle has radius 4 cm and arc length 2π cm. Find the angle of the sector.
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