What is the Arc Length Calculator?
The arc length calculator is a free online tool that helps you work out arc length quickly and accurately. It uses the standard formula Arc = 2 pi r x (angle/360); Sector area = pi r^2 x (angle/360) and shows the result instantly as you type, along with a full breakdown so you can see exactly how the answer was reached.
How to use this calculator
- Enter the radius.
- Enter the central angle in degrees.
- See arc length and sector area.
Formula used
Arc = 2 pi r x (angle/360); Sector area = pi r^2 x (angle/360)Explanation of each input
- Radius (units) โ the radius used in the calculation.
- Central angle (degrees) โ the central angle used in the calculation.
Understanding your result
- Arc length โ the calculated arc length in units.
- Sector area โ the calculated sector area in sq units.
Step-by-step calculation
For the example values r 5, angle 60:
- Apply the formula:
Arc = 2 pi r x (angle/360); Sector area = pi r^2 x (angle/360) - Substitute the values: 2 pi 5 x 60/360
- Result: Arc about 5.24
Worked example
| Inputs | r 5, angle 60 |
|---|---|
| Working | 2 pi 5 x 60/360 |
| Result | Arc about 5.24 |
Benefits and practical uses
This calculator saves you time and reduces errors when you need arc length. It is useful for students, professionals and anyone who wants a fast, reliable answer without manual calculation. Results update instantly, work in your browser and can be copied or shared in one click.
Assumptions and limitations
- Angle in degrees.
Frequently asked questions
What is an arc?
A portion of a circle's circumference between two points.
Disclaimer: Results are provided for general information. Please verify important figures independently.