Arc Length of a Circle

Definition of Arc Length of a Circle

Length of an Arc is the fractional part of the circumference subtended by the arc in a circle.

More About Arc Length of a Circle

  • Length of arc = × Π × d, where d is the diameter of the circle.

Examples of Arc Length of a Circle

    example of Arc Length of a Circle

    In the above circle, the distance between A and B is the length of an arc

Video Examples: Finding Arc Length of a Circle


Solved Example Clockple on Approximate

Ques: The circumference of a circle is 40 Π cm. Find the length of an arc whose measure is 540

    Choices:
    A. 6Π cm
    B. 5Π
    C. 12Πcm
    D. 40Π cm
    Correct Answer: A

Solution:

    Step 1: Circumference = 40Π [Given.]
    Step 2: d = 40 cm [Circumference = Πd.]
    Step 3: Length of arc = × Π × d [Formula for the length of an arc of a circle.]
    Step 4: Length of arc = × Π × 40 [Substitute the given values.]
    Step 5: Length of arc = 6Π cm [Simplify.]
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