Problem 49913. Splitting Square - Problem the third
Consider a square sitting in Quadrant I as depicted in an example below:
This square is to be split into two regions (e.g., red and blue). Given the ratio between the two regions and the side of the square, determine the radius of the circle defining the red region. The ratio between the regions (red to blue) is presented through the first two entries in the input. For example, if the ratio is 2 to 3, then these two numbers will be the first two numbers in the input. The last entry is the side of the square. Please keep in mind that if the radius of the circle is larger than the side of the square, then the red region is defined by the overlapping area between the circle and the square (as shown in the figure below).
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