Circular Sector Area Calculator
Area and arc length of a circle sector.
Enter your values
ⓘ Live results
Results
- Sector area
- 52.3599
- Arc length
- 10.472
- Radius
- 10
- Angle
- 60°
Quick answer
Sector area = (theta/360) x pi x r^2 and arc length = (theta/360) x 2 x pi x r, using degrees.
Area = (θ/360)πr², Arc = (θ/360)2πr
How to use the Circular Sector Area Calculator
- 1Enter the circle's radius.
- 2Enter the sector's central angle in degrees.
- 3The area and arc length scale proportionally with theta/360.
Worked example
Using the values the calculator loads with:
Inputs
- Radius10
- Central angle60 degrees
Results
- Sector area52.3599
- Arc length10.472
- Radius10
- Angle60°
Frequently asked questions
What if my angle is in radians?
Convert to degrees first, or use theta/(2π) instead of theta/360 in the formula.
What's the full circle case?
Set theta to 360 to get the full circle's area and circumference.
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.