Arc Length Definition
In geometry, an arc length, also known as the length of an arc, is defined as the range interval or distance among the two points of a circle’s circumference or curve.
In mathematical form, an arc length of a circle is written as: s = θ × r Where, s = length of an arc. θ = angle formed in an arc (measured in radians) and r = radius of a circle (measured in cm).
For a more precise understanding, check out the picture given below:
Table Of Contents
Formula Of Arc Length
To calculate arc length in degree, you can use this formula:
s = (θ × π/180) × r
Where,
θ = degree
r = radius
Note:
To calculate arc length, you can use our Arc Length Calculator.
Example
For more precise understanding, let us have an example below:
If a radius of an arc = 10cm and the angle formed in it is 0.349 radians, you can find the length of an arc using the formula listed below:
Given data
r = 10 cm
θ = 0.349 rad
To Find
Arc length = ?
Solution
To find out the arc length, we will use the formula listed below:
s = θ × r
Putting values in the formula:
s = 0.349 x 10 = 3.49 cm
