Sector Area Calculator
Area of a pie slice of a circle.
Enter your values
ⓘ Live results
Results
- Sector area
- 52.3599
- Arc length
- 10.472
- Segment area
- 9.0586
- Chord length
- 10
- Share of full circle
- 16.67%
Quick answer
A sector's area is half the radius squared times the angle in radians.
A = ½r²θ
How to use the Sector Area Calculator
- 1Enter the circle radius.
- 2Enter the sector's central angle in degrees.
- 3Read sector and segment areas.
Worked example
Using the values the calculator loads with:
Inputs
- Radius10
- Central angle60 degrees
Results
- Sector area52.3599
- Arc length10.472
- Segment area9.0586
- Chord length10
- Share of full circle16.67%
Frequently asked questions
What is a segment?
The region between a chord and the arc — the sector minus the triangle.
How do I get the angle from the arc?
Divide arc length by radius for radians.
About this calculator
- Built and reviewed by James Whitfield · How we build and test calculators
- Report an error
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.