Skills · Geometry · Circles

Area of a sector

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. a sector of 270° in a circle with radius 12270°12
    Find the area of the sector.
  2. a sector of 180° in a circle with radius 8180°8
    Find the area of the sector.
  3. a sector of 270° in a circle with radius 4270°4
    Find the area of the sector.
  4. a sector of 90° in a circle with radius 1290°12
    Find the area of the sector.
  5. a sector of 270° in a circle with radius 10270°10
    Find the area of the sector.
  6. a sector of 270° in a circle with radius 2270°2
    Find the area of the sector.
  7. a sector of 180° in a circle with radius 10180°10
    Find the area of the sector.
  8. a sector of 270° in a circle with radius 8270°8
    Find the area of the sector.

Answer key

  1. 108π square units
  2. 32π square units
  3. 12π square units
  4. 36π square units
  5. 75π square units
  6. 3π square units
  7. 50π square units
  8. 48π square units

Sample Sheet · Level 3

  1. a sector of 270° in a circle with radius ?270°?
    The sector's area is 3π. Find the radius.
  2. a sector of 240° in a circle with radius ?240°?
    The sector's area is 150π. Find the radius.
  3. a sector of 60° in a circle with radius 660°6
    Find the area of the sector.
  4. a sector of 180° in a circle with radius ?180°?
    The sector's area is 32π. Find the radius.
  5. a sector of 225° in a circle with diameter 8225°8
    Find the area of the sector.
  6. a sector of 270° in a circle with radius 10270°10
    Find the area of the sector.
  7. a sector of 330° in a circle with diameter 12330°12
    Find the area of the sector.
  8. a sector of 120° in a circle with diameter 12120°12
    Find the area of the sector.

Answer key

  1. 2 units
  2. 15 units
  3. 6π square units
  4. 8 units
  5. 10π square units
  6. 75π square units
  7. 33π square units
  8. 12π square units

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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