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Circular Sector Calculator — result sheet
Calculate a circular sector’s arc length and area from radius and central angle.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Arc length = 2πr(θ/360); sector area = πr²(θ/360).
The angle fraction determines what portion of the full circle is used.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Radius — length units; minimum 1.0E-6; maximum 1000000000
- Central angle — degrees; minimum 0; maximum 360
Worked example
| Input | Value |
|---|---|
| Radius | 5 |
| Central angle | 60 |
Arc length ≈ 5.236; sector area ≈ 13.090 square units.
Assumptions and limits
- The angle is measured in degrees from 0 through 360.
- The sector is a planar Euclidean sector.
- Units follow the radius and become squared for area.
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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