Arc Length Calculator
Calculate the length of an arc of a circle given its radius and central angle.
Units:
Arc Length Formula
Result
What is Arc Length?
In geometry, an arc length is the distance between two points along a section of a curve. In the case of a circle, the arc length is a portion of the circumference. It's determined by the radius of the circle and the central angle subtended by the arc.
Formula
The formula to calculate the arc length (s) of a circle is given by:
`$$ s = r \theta $$` (where θ is in radians)
or, for θ in degrees:
`$$ s = \frac{\theta}{360} \times 2\pi r $$`
or, for θ in degrees:
`$$ s = \frac{\theta}{360} \times 2\pi r $$`
How to Use This Calculator
- Enter the radius of the circle in the 'Radius' field.
- Select the unit of measurement for the radius.
- Enter the central angle in degrees in the 'Angle' field.
- Click the 'Calculate' button to find the arc length.
- The result will be displayed in the 'Result' section, and you can copy it using the 'Copy' button.
Uses of Arc Length
Arc length is a fundamental concept in geometry and trigonometry with applications in various fields such as:
- Navigation and surveying
- Calculating distances on curved paths
- Engineering and design of curved structures
- Computer graphics and animations