Arc Length Calculator
Computes the arc length of a circular sector from radius and central angle.

What Arc Length Calculator does
The Arc Length Calculator on Pi Day Calculators determines the length of a circular arc and the area of its corresponding sector. Users input a radius and a central angle, which can be specified in degrees, radians, gradians, or time-based units like minutes and seconds of arc. The tool outputs the arc length and sector area in a wide selection of metric and imperial units, from millimeters to miles. Beyond the automated result, the site provides concise manual calculation guides that break down the relationship between the central angle, circumference, and arc length, reinforcing the underlying geometric principles for users who want to understand the math.
How to use the Pi Day Calculators Arc Length Calculator
- 1
Enter the central angle value into the top input box
- 2
Select the angle unit (degrees, radians, gradians, minutes of arc, seconds of arc, or milliradians) from the dropdown
- 3
Enter the radius length into the second input box and choose the unit (millimeters, centimeters, meters, kilometers, inches, feet, yards, or miles)
- 4
Click Calculate to view the arc length and sector area, which can be copied or reset using the provided buttons
Best for
Students, teachers, and professionals in geometry, trigonometry, architecture, or engineering who need quick, accurate arc and sector measurements with support for multiple angle and unit formats.
Limitations
- Results depend on the accuracy of the user-entered radius and angle values
- The manual explanation pages are brief and do not cover every possible edge case or advanced geometric scenario
- As a web-based calculator, output requires an internet connection and the site contains advertisements
Arc Length Calculator FAQ
- Can I use the calculator if I only know the diameter instead of the radius?
- 1-3 sentence answer grounded in the material
- What units are available for the central angle and radius?
- 1-3 sentence answer grounded in the material
- Does the calculator provide the area of the sector in addition to the arc length?
- 1-3 sentence answer grounded in the material
- Can the results be converted into different units after calculation?
- 1-3 sentence answer grounded in the material
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