Radius And Angle To Sector Area Converter

Calculate the sector area from a radius and central angle from 0 to one full turn. The result uses the square of the radius unit.






Conversion Table (radius = 2)

RadiusAngleUnitSector Area
20degrees0.000000
245degrees1.570796
290degrees3.141593
2180degrees6.283185
2360degrees12.566371
21.570796326794897radians3.141593
2100gradians3.141593
20.25turns3.141593

How This Converter Works

Calculates sector area from a positive radius and central angle between zero and one full turn inclusive. The angle can be degrees, radians, gradians, or turns. Area is measured in squared radius units. Blank fields clear output; invalid range or non-finite values show Invalid input; output has six decimals.

Formula or rule

sectorArea = radius^2 * angleRadians / 2

Example

Input
Radius 2; angle 90 degrees
Calculation
2^2 * (90 * pi / 180) / 2
Result
3.141593 squared radius units