Use this circle segment area calculator to quickly calculate segment area from radius and central angle. Perfect for segment area formula tasks.
A = segment area
r = radius of the circle
θ = central angle in degrees
π ≈ 3.14159
| Radius | Angle (°) | Segment Area |
|---|---|---|
| 5 | 60 | 4.675257 |
| 10 | 90 | 42.413156 |
| 7 | 120 | 62.124234 |
| 3 | 45 | 1.417083 |
| 8 | 30 | 5.563706 |
1. Convert the angle to radians: θ × π / 180.
2. Compute r² / 2.
3. Multiply by (θ in radians − sin(θ in radians)).
This circle segment area calculator automatically computes results with up to six decimal places. Useful for students, engineers, and designers needing precise calculate segment area results.
• A segment is the region between a chord and the circle's arc.
• Segment area depends on radius and angle.
• Segments are used in engineering, architecture, and design.
• Understanding segment area helps in geometry and trigonometry.
• Segments appear in lenses, bridges, and mechanical parts.