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Area of a Sector (Year 11)

Free printable UK Year 11 (GCSE Foundation) maths worksheet: find the area 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

Area of a Sector

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

  1. 1.
    A sector of a circle has radius 4 cm and angle 180°. Find the area of the sector, (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 area of the sector, (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 45°. Find the area of the sector, (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 area of the sector, (a) exactly in terms of pi, and (b) rounded to 1 decimal place.
  5. 5.
    A sector of a circle has radius 8 cm and angle 90°. Find the area of the sector, (a) exactly in terms of pi, and (b) rounded to 1 decimal place.
  6. 6.
    A sector of a circle has radius 9 cm and area 27π cm2. Find the angle of the sector.
  7. 7.
    A sector of a circle has radius 16 cm and area 32π cm2. Find the angle of the sector.
  8. 8.
    A sector of a circle has radius 2 cm and area 2π cm2. Find the angle of the sector.
  9. 9.
    A sector of a circle has radius 8 cm and area 8π cm2. Find the angle of the sector.
  10. 10.
    A sector of a circle has radius 36 cm and area 108π cm2. Find the angle of the sector.
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