CALCULATOR
Minor Circular Segment Area from Radius and Central Angle Calculator
Minor Circular Segment Area from Radius and Central Angle. Example: Radius: 2 m, Central angle: 90 degrees gives 1.14159265359 m². Minor segment angle greater than0 and at most180degrees; binary64 cancellation accuracy limited for extremely small angles, excluded below.01degree. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be v
Minor segment angle greater than0 and at most180degrees; binary64 cancellation accuracy limited for extremely small angles, excluded below.01degree. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Subtract isosceles center triangle area from circular sector.
Accepted inputs: Radius: 0.001 to 10,000 m; Central angle: 0.01 to 180 degrees.
Minor Circular Segment Area from Radius and Central Angle
How the calculation works
A=r²(θ-sinθ)/2 with θ in radians
Worked example
With radius 2 m, central angle 90 degrees, minor circular segment area from radius and central angle is 1.141592654 m².
Assumptions and limits
Minor segment angle greater than0 and at most180degrees; binary64 cancellation accuracy limited for extremely small angles, excluded below.01degree. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Subtract isosceles center triangle area from circular sector.