Radius And Sector Area To Angle Converter

Calculate a central angle from a radius and sector area. The sector area must be between 0 and the full circle area, and use the square of the radius unit.








Conversion Table (radius = 2)

RadiusSector AreaAngleUnit
200.000000degrees
21.57079632679489745.000000degrees
23.14159265358979390.000000degrees
26.283185307179586180.000000degrees
212.566370614359172360.000000degrees

How This Converter Works

Calculates a central angle from a positive radius and sector area between zero and the full-circle area pi*r^2. Area must use the square of the radius unit. The result unit is selectable: radians, degrees, gradians, or turns. Blank fields clear output; invalid inputs show Invalid input; results have six decimals.

Formula or rule

angleRadians = 2 * sectorArea / radius^2

Example

Input
Radius 2; sector area pi squared length units; degrees selected
Calculation
2*pi/(2^2) = pi/2 radians; (pi/2) * 180 / pi
Result
90.000000 degrees
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