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Circle Circumscribed Around a Rectangle

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Calculates the radius and area of the circumscribed circle of a rectangle.
Side of the rectangle a
Side of the rectangle b
Radius of the circumscribed circle r 
Diameter φ of the circumscribed circle 
Area of the circumscribed circle Sc 
Area of a rectangle Sr 
Area Ratio Sc/Sr 
\(\normalsize Circumcircle\ of\ a\ rectangle\\ (1)\ circumcircle\ radius:\ r=\frac{1}{2} \sqrt{\large a^2+b^2}\\ (2)\ circumcircle\ area:\hspace{20px} Sc=\pi r^2\\ (3)\ rectangle\ area:\hspace{45px} Sr=ab\\\)

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Circle Circumscribed Around a Rectangle | Keisan