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Area of a Sector (Year 10)

Free printable UK Year 10 (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 9 · 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 6 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 4 cm and angle 180°. 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 24 cm and angle 30°. 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 18 cm and angle 60°. 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 12 cm and angle 30°. 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 6 cm and area 6π cm2. Find the angle of the sector.
  7. 7.
    A sector of a circle has radius 6 cm and area 18π cm2. Find the angle of the sector.
  8. 8.
    A sector of a circle has radius 24 cm and area 72π cm2. Find the angle of the sector.
  9. 9.
    A sector of a circle has radius 12 cm and area 12π cm2. Find the angle of the sector.
  10. 10.
    A sector of a circle has radius 16 cm and area 32π cm2. Find the angle of the sector.
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