CALCULATOR
General Circle Constant from Center and Radius Calculator
General Circle Constant from Center and Radius. Example: Center x: 3 m, Center y: 4 m, Radius: 5 m gives 0 m². F output of normalized circle polynomial; D/E supporting values, no arbitrary conic transform. Original useful product scope; historical catalog title does not grant missing modes or source parity.
F output of normalized circle polynomial; D/E supporting values, no arbitrary conic transform. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Expand (x-h)²+(y-k)²=r²; D=-2h and E=-2k shown alongside primary F.
Accepted inputs: Center x: -1,000 to 1,000 m; Center y: -1,000 to 1,000 m; Radius: 0.1 to 1,000 m.
How the calculation works
F=h²+k²-r²
Worked example
With center x 3 m, center y 4 m, radius 5 m, general circle constant from center and radius is 0 m².
Assumptions and limits
F output of normalized circle polynomial; D/E supporting values, no arbitrary conic transform. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Expand (x-h)²+(y-k)²=r²; D=-2h and E=-2k shown alongside primary F.