Five circles in a square

The green square has area of 4. The center blue circle is tangent to each of the other blue circles, which are tangent to the green square. Let the radius of the center circle be R, and the radius of the other circles be r. Write r as a function of R. What fraction of the area of the square is covered by the circles? What value of R gives all 5 circles the same area?

 

Bill Lombard

 
Resource Type
Activity
Tags
circles  polya 
Target Group (Age)
13 – 19+
Language
English (United States)
 
 
GeoGebra version
4.4
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2260
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