Arc Length Calculator
Result
Arc Length Calculator The Arc Length Calculator finds the length of a circular arc from the circle's radius and the central angle. The formula used is: Arc length = r × θ (with θ in radians) = r × angle × π/180; Fraction of circle = angle/360. — free online calculator.
Formula
- Arc Length Calculator calculates its result from Angle. It uses the formula Arc length = r × θ (in radians) = r × angle × π/180; Fraction = angle/360. Change any input to recalculate the result instantly.
- The main inputs are Radius, Central Angle. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Arc Length
- Radius: 10 cm
- Central Angle: 45 degrees
Using Angle = 2, the calculated result is 0.0055555556.
Sample result: Calculating…
Frequently asked questions
What does the Arc Length calculate?
Arc Length Calculator The Arc Length Calculator finds the length of a circular arc from the circle's radius and the central angle. The formula used is: Arc length = r × θ (with θ in radians) = r × angle × π/180; Fraction of circle = angle/360. — free online calculator.
Which values should I enter?
Enter Radius, Central Angle using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Arc length = r × θ (in radians) = r × angle × π/180; Fraction = angle/360.
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.