Compute rectangle circumradius instantly with clear formulas live validation and rich explanations use side lengths in any units see diagonal derivation view stepwise solution compare scenarios export results and learn geometry fundamentals ideal for students engineers architects teachers and curious makers seeking accuracy speed and confidence for rectangular shapes in design analysis and education
Rectangle circumradius is the radius of a circle passing through all four vertices of a rectangle. It equals half the length of the rectangle diagonal derived from the Pythagorean theorem. Using side lengths a and b the diagonal is square root of a squared plus b squared and the circumradius is that value divided by two suitable for geometry design and problem solving. It supports unit selection and detailed explanations
d = √(a² + b²)R = d / 2 = √(a² + b²) / 2All inputs must be positive. Output unit can differ from input unit; internal computation uses SI base metres.
Enter side lengths and choose units to see the diagonal and circumradius along with a clear derivation.
It is the radius of the unique circle that passes through all four vertices of the rectangle and equals half of the rectangle diagonal.
Only the two side lengths a and b are needed. Units can be selected for convenience and the calculator handles conversions internally.
The rectangle diagonal is a diameter of the circumcircle. The radius is half the diameter hence R = d / 2.
No. Circumradius depends only on side lengths so rotation or position does not change the result.
Yes. Choose any input unit and a different output unit. The tool converts through metres and returns the requested unit.
Sides must be real positive numbers. Zeros negative values or non numeric entries are not allowed.
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