Arc Length of a Circle
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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

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 54^{0}
Choices:
A. 6Π cmB. 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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