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GeomBench
The circle that touches every corner.
R = (a×b×c) ÷ (4×Area) gives the radius of the unique circle passing through all three vertices of any triangle — useful in trigonometry (it's also the constant in the Law of Sines: a/sin(A) = 2R).
For a regular polygon, every vertex is automatically equidistant from the center, so the circumradius has a direct formula (s ÷ (2·sin(π/n))) rather than needing Heron's formula first.
Circumradius
3.572
What you entered
Area (Heron's formula)
√(9 × 4 × 3 × 2)= 14.6969Circumradius R = (a × b × c) ÷ (4 × Area)
(5 × 6 × 7) ÷ (4 × 14.6969)= 3.5722Result
Circumradius: 3.572
The circumradius (radius of the circle passing through every vertex) is 3.572 units.