What is Arc Length?
The Arc Length is the distance between two points along a section of a curve. In a circle, it represents a portion of the total circumference. To calculate it, you need to know the radius of the circle and the central angle subtended by the arc.
Arc Length Formulas
The formula depends on whether your central angle ($\theta$) is measured in degrees or radians:
In Radians: $s = r \times \theta$
In Degrees: $s = 2\pi r \times (\frac{\theta}{360})$
How to Use This Calculator
Our tool is designed for precision in both academic and engineering contexts. Simply enter the radius and the angle. You can toggle between Degrees andRadians. The calculator automatically uses the constant $\pi \approx 3.14159$ to ensure your results are accurate.
Real-World Applications
- Architecture: Designing curved archways and circular rooms.
- Engineering: Calculating the travel distance of a robotic arm or gears.
- Astronomy: Determining the orbital distance traveled by celestial bodies.