Sector Area Calculator

Sector Area Calculator

Find the area of a circle sector from a radius and central angle.

Last updated: June 2026 | By Patchworkr Team

Sector Area
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Enter radius and angle to calculate
Full Circle Area
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Theta in Radians
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Enter a real number.

Formulas

Degrees
A = (θ / 360) πr^2
Radians
A = 1/2 r^2 θ

How to Use

Choose the angle unit, enter a positive radius, and keep the angle within the valid sector range.

  1. Select degrees or radians.
  2. Enter a radius greater than 0.
  3. Enter an angle from 0 up to the full circle limit.

Example

With radius 10 and angle 72 degrees, the sector area is 62.831853.

That is exactly one-fifth of the full circle area, which is 314.159265.

Notes

The calculator rejects angles outside the full sector range so it cannot silently compute a wrapped or impossible sector.

The result is live, so changing the unit or input immediately updates the geometry without needing a separate calculate button.

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