Skills · Geometry · Circles

Arc length

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. an arc of 180° in a circle with radius 11180°11
    Find the arc length.
  2. an arc of 180° in a circle with radius 12180°12
    Find the arc length.
  3. an arc of 180° in a circle with radius 5180°5
    Find the arc length.
  4. an arc of 90° in a circle with radius 1290°12
    Find the arc length.
  5. an arc of 180° in a circle with radius 9180°9
    Find the arc length.
  6. an arc of 270° in a circle with radius 12270°12
    Find the arc length.
  7. an arc of 180° in a circle with radius 3180°3
    Find the arc length.
  8. an arc of 90° in a circle with radius 890°8
    Find the arc length.

Answer key

  1. 11π units
  2. 12π units
  3. 5π units
  4. 6π units
  5. 9π units
  6. 18π units
  7. 3π units
  8. 4π units

Sample Sheet · Level 3

  1. an arc of 135° in a circle with radius ?135°?
    The arc is 9π long. Find the radius.
  2. an arc of 180° in a circle with radius 9180°9
    Find the arc length.
  3. an arc of 300° in a circle with diameter 18300°18
    Find the arc length.
  4. an arc of 225° in a circle with diameter 16225°16
    Find the arc length.
  5. an arc of 120° in a circle with diameter 24120°24
    Find the arc length.
  6. an arc of 90° in a circle with radius ?90°?
    The arc is 7π long. Find the radius.
  7. an arc of 300° in a circle with radius 3300°3
    Find the arc length.
  8. an arc of 150° in a circle with radius ?150°?
    The arc is 5π long. Find the radius.

Answer key

  1. 12 units
  2. 9π units
  3. 15π units
  4. 10π units
  5. 8π units
  6. 14 units
  7. 5π units
  8. 6 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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