What is Arc Length Calculator?
An arc length calculator helps determine the distance along a curved line segment of a circle. This essential geometry tool is used by students, engineers, and designers to calculate circular measurements quickly. By inputting radius and central angle, users get instant arc length results, saving time on manual calculations. Our calculator supports both degree and radian measurements, making it versatile for various mathematical applications.
Arc Length Calculator
Arc Length Formula
The fundamental formula for arc length calculation is:
Arc Length (L) = (θ/360) × 2πr where:
• θ = Central angle in degrees
• r = Radius of the circle
• π = Pi (approximately 3.14159)
How to Use the Calculator
1. Enter circle radius in any units
2. Input central angle in degrees
3. Click Calculate button
4. View instant results
5. Use Clear button to reset
The calculator automatically converts degrees to radians and computes using the standard arc length formula. Results show both decimal and π-based values when applicable.
Arc Length Reference Table
| Radius | Angle | Arc Length |
|---|---|---|
| 5 units | 90° | 7.85 units |
| 10 units | 180° | 31.42 units |
| 7 units | 60° | 7.33 units |
| 15 units | 360° | 94.25 units |
Advantages & Disadvantages
Advantages:
- Instant calculations save time
- Reduces human calculation errors
- Supports various measurement units
- Educational tool for geometry students
- Free and accessible online
Disadvantages:
- Requires understanding of basic geometry
- Dependent on accurate inputs
- Doesn't account for 3D curves
- Limited to perfect circle calculations
- No automatic unit conversion