Arc Length Calculator
Cuemath's Arc Length Calculator is an online tool that calculates the arc length within a few seconds.
What Is Arc Length Calculator?
A part of a curve or a part of a circumference of a circle is called an arc. The arc length is defined as the interspace between the two points along a section of a curve.
How to Use the Arc Length Calculator?
Please follow the steps mentioned below to use the Arc Length calculator.
 Step 1: Enter the value of radius and angle formed at the center of the circle by the sector.
 Step 2: Click on "Calculate" to find the arc length.
 Step 3: Click on "Reset" to reset the fields and enter the new values.
How to Calculate the Arc Length?
When θ is in radians, arc length is θ times the radius of the circle.
Arc Length (L) = θ × r
When θ is in degrees, arc length formula is given by,
Arc Length (L) = θ × (п/180) × r

Solved Example 1:
Find the length of the arc cut off by a central angle of 4 radians in a circle with a radius 6 units.
Solution:
Since angle is in radian, we will use the following formula.
Arc Length (L) = θ × rSubstituting the values of radius and angle (θ) in the formula of the Arc Length:
Arc Length = θ × r
= (4 × 6) units
= 24 units
Therefore, the arc length is 24 units

Solved Example 2:
Find the length of the arc cut off by a central angle of 25 degrees in a circle with a radius 5 units.
Solution:
Since angle is in degrees, we will use the following formula
Arc Length (L) = θ × (п/180) × r
Substitute the values of radius and angle (θ) in the formula of the Arc Length:
Arc Length = θ × (п/180) × r
= 25 × (3.14 / 180) × 5
= 2.18 units.
Therefore, the arc length is 2.18 units.
Now, use the calculator and find the arc length whose radius and angle are as follows.
 Radius = 20 units, Angle = 2 radians
 Radius = 189 units, Angle = 128°