Use this arc length calculator to quickly calculate arc length from radius and central angle. Perfect for arc length formula tasks.
L = arc length
r = radius of the circle
θ = central angle in degrees
π ≈ 3.14159
| Radius | Angle (°) | Arc Length |
|---|---|---|
| 5 | 90 | 7.853982 |
| 10 | 180 | 31.415927 |
| 3 | 60 | 3.141593 |
| 7 | 120 | 14.660766 |
| 8 | 45 | 6.283185 |
1. Take the radius of the circle.
2. Multiply by 2 π to get the full circumference.
3. Multiply the circumference by the fraction of the angle over 360°.
This arc length calculator automatically computes results with up to six decimal places. Useful for students, engineers, and designers who need precise calculate arc length results.
• Arc length is a portion of the circle's circumference.
• Arcs are fundamental in geometry and trigonometry.
• Road curves, gears, and wheels use arc length calculations.
• Arc length can be expressed in degrees or radians.
• Understanding arcs helps in design, navigation, and architecture.