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Class 10 Maths — Areas related to circles

Find the arc length, area and perimeter of a sector, and the area of a segment.

Name: ________________________

  1. 1.Match each sector to its area, in square centimetres. Take π = 22/7.

    • radius 7 cm, angle 45°
    • radius 7 cm, angle 135°
    • radius 14 cm, angle 180°
    • radius 21 cm, angle 45°
    • 19.25
    • 308
    • 57.75
    • 173.25

  2. 2.A circle has been cut into three sectors. Tap the sector with the largest area.

    Write the number of the part.

    123

  3. 3.A sector of a circle of radius 7 cm has an angle of 90° at the centre. Take π = 22/7. What is its area, in square centimetres?

  4. 4.The minute hand of a clock is 21 cm long. Take π = 22/7. What area does it sweep in 5 minutes, in square centimetres?

  5. 5.A sector of a circle of radius 7 cm has an angle of 90° at the centre. Take π = 22/7. How long is its arc, in centimetres?

  6. 6.A sector of a circle of radius 6 cm has an angle of 60° at the centre. Take π = 3.14. What is its area, in square centimetres?

  7. 7.Through how many degrees does the minute hand of a clock turn in 20 minutes?

  8. 8.A sector of a circle of radius 21 cm has an angle of 60° at the centre. Take π = 22/7. What is the perimeter of the sector, in centimetres?

Answer key — Class 10 Maths — Areas related to circles

  1. 1. radius 7 cm, angle 45° → 19.25; radius 7 cm, angle 135° → 57.75; radius 14 cm, angle 180° → 308; radius 21 cm, angle 45° → 173.25
  2. 2. 3 — Sector C
  3. 3. 38.5
  4. 4. 115.5
  5. 5. 11
  6. 6. 18.84
  7. 7. 120
  8. 8. 64