The center blue circle is tangent to each of the other blue circles,[br]which are tangent to the green square. Let the radius of the center circle be R,[br]and the radius of the other circles be r. Write r as a function of R. [br][br][i]Idea from George Polya[/i] Read about George Polya here:[br][url]https://en.wikipedia.org/wiki/George_P%C3%B3lya[/url]

Write r as a function of R.[br]What value of R maximizes the area of all 5 circles?[br]What value of R makes all 5 circles the same area?