CALCULATOR
Inscribed Square Area from Circle Radius Calculator
Inscribed Square Area from Circle Radius. Example: Radius: 2 m gives 8 m². Square vertices on circle, radius meters; no arbitrary rectangle claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
Square vertices on circle, radius meters; no arbitrary rectangle claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Square diagonal equals circle diameter; area=diagonal²/2.
Accepted inputs: Radius: 0.001 to 10,000 m.
How the calculation works
A=2r²
Worked example
With radius 2 m, inscribed square area from circle radius is 8 m².
Assumptions and limits
Square vertices on circle, radius meters; no arbitrary rectangle claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Square diagonal equals circle diameter; area=diagonal²/2.