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Circle Circumscribed Around a Triangle

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Calculates the radius and area of the circumcircle of a triangle based on its three sides.
Side length a
Side length b
Side length c
Radius of the circumscribed circle r 
Diameter φ of the circumcircle 
Area of the circumscribed circle Sc 
Area of a Triangle St 
Area Ratio Sc/St 
\(\normalsize Circumcircle\ of\ a\ triangle\\ (1)\ circumcircle\ radius:\\ \hspace{130px} r={\large\frac{abc}{4\sqrt{s(s-a)(s-b)(s-c)}}}\\ (2)\ circumcircle\ area:\ Sc=\pi r^2\\ (3)\ triangle\ area:\ St=\sqrt{s(s-a)(s-b)(s-c)}\\ \hspace{230px} s={\large\frac{a+b+c}{2}}\\\)

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