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Circular Arc Length Calculator — result sheet
Calculate a circular arc length and sector area from radius and central angle in degrees.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Arc length=2πr×angle/360; sector area=πr²×angle/360.
The degree-to-radian fraction is applied to both circumference and circle area so the geometry convention is explicit.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Radius — minimum 1.0E-6; maximum 1000000000
- Central angle — minimum 0; maximum 360
Worked example
| Input | Value |
|---|---|
| Radius | 10 |
| Central angle | 90 |
Arc length ≈15.708; sector area ≈78.540.
Assumptions and limits
- Radius is positive and the central angle is between zero and 360 degrees.
- The shape is a flat Euclidean circle sector.
- Elliptic arcs, chord length, measurement uncertainty, and material or surveying decisions are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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