Circular Sector
Find the area, arc and boundary length of a circular sector.
Your numbers
Sector area
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
Convert the entered angle a in degrees to θ = πa/180 radians. Use A = r²θ/2 and s = rθ. r is radius, A is sector area, and s is arc length.
Find the area, arc and boundary length of a circular sector.
Worked example
- Radius (m)
- 3
- Central angle (degrees)
- 60
- Sector area
- 4.71238898038 m²
- Arc length
- 3.14159265359 m
- Boundary length
- 9.14159265359 m
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: f97ef6daa72e · Example checked: