Work out circumscribed circle radius instantly with clear inputs, formula shown and shareable results.
The circumcircle passes through all three vertices. Combining the extended law of sines with Heron's area gives R = abc / (4·Area).
Circumradius
R = abc / (4·Area)
Law of sines
a / sin A = 2R
R = 60 / 24 = 2.5, exactly half the hypotenuse, as Thales' theorem requires.
Yes. Euler's inequality R ≥ 2r holds for every triangle, with equality only for the equilateral case.