Radius of the circumscribed circle

Every triangle admits one and only one circumscribed circle, which passes through its three vertices. Its radius is expressed through the sides and the area.

Property — Radius of the circumscribed circle

The radius of the circumscribed circle of a triangle with sides $a,b,c$ and area $S$ is: $R = \frac{a\cdot b\cdot c}{4S}.$

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Topics: Euclidean circle
Concepts: Circumscribed circle
Skills: Using formulae