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Sector Area Calculator

Compute the area of a circular sector: A = (θ/360)·πr².

Input Data

Radius.
Central angle in degrees.

Results

13.09
Sector area = (θ/360)πr² = 13.09.

At a glance:Sector area for central angle θ (degrees): A = (θ/360)·πr².

Formula

A = (θ/360)·πr².

How to Use

  1. Enter radius r and central angle θ (degrees).
  2. The tool returns sector area A.

Case Studies

r=5, θ=60 → 13.09

A = (60/360)·π·25 ≈ 13.09.

FAQ

Radians?

Use A = (θ/2)·r² with θ in radians; this tool uses degrees.

Full circle?

θ=360 gives circle area πr².

Related Tools

References

Content reviewed by the Calculatorism editorial team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Sector Area Calculator/math/sector-area)。