Circle Sector Area Calculator
Find the area and arc length of a sector, the slice of a circle, from the radius and the angle in degrees. Enter radius and angle to see sector area…
8 of 8 free uses remaining today
Find the area and arc length of a sector, the slice of a circle, from the radius and the angle in degrees. Enter radius and angle to see sector area and arc length when you calculate.
Worked example
Example calculated from the starting values. Enter your own values and press Calculate to get your result.
With the default inputs (radius = 8, angle = 60 degrees), the results are: sector area 33.510; arc length 8.378.
Quick reference: radius vs result
Reference table based on the example values; it is not your calculation result.
| Radius | Sector area | Arc length |
|---|---|---|
| 4 | 8.378 | 4.189 |
| 8 | 33.510 | 8.378 |
| 16 | 134.041 | 16.755 |
| 40 | 837.758 | 41.888 |
| 80 | 3,351.032 | 83.776 |
| 160 | 13,404.129 | 167.552 |
Frequently asked questions
What formula does this calculator use?
Sector area = pi × r^2 × ang ÷ 360; Arc length = 2 × pi × r × ang ÷ 360. Variables: r = radius, ang = angle in degrees.
What do I need to enter?
You need radius, angle (degrees). Results update as you type.
What is an example result?
With the default inputs (radius = 8, angle = 60 degrees), the results are: sector area 33.510; arc length 8.378.
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