What is Arc Length?

Arc length calculation helps determine the distance between two points along a curve's surface. This crucial geometry concept is widely used in engineering, architecture, and computer graphics. Our arc length calculator simplifies complex mathematical computations, providing instant results for circle segments. Accurate arc measurements are essential for constructing bridges, designing circular objects, and solving trigonometry problems. Whether you're a student, teacher, or professional, this tool helps save time while ensuring precision in geometric calculations.

Arc Length Formula

The standard arc length formula is: Arc Length = θ × r (when θ is in radians)
For degrees: Arc Length = (θ × π/180) × r

How to Use the Calculator

1. Enter circle radius in any units
2. Input central angle value
3. Select measurement unit (degrees/radians)
4. Click Calculate button
5. View instant results
6. Use Clear button to reset
The calculator automatically converts degrees to radians using the conversion factor π/180. Results show both numerical value and complete calculation steps for better understanding and verification.

Sample Calculations

Radius	Angle	Unit	Arc Length
5	60	Degrees	5.24
10	1.05	Radians	10.5
7	90	Degrees	11.0

Advantages and Disadvantages

Advantages:

• Instant results save calculation time
• Eliminates human calculation errors
• Supports both degree and radian inputs
• Educational tool for math students
• Free to use with no installation required

Disadvantages:

• Requires internet connection
• Limited to circular arc calculations
• Doesn't account for 3D curves
• Dependent on accurate user inputs
• No automatic unit conversion for radius