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Geometry Problem 1157: Four Circles, Mutually Tangent, 90 Degrees, Radius, Metric Relations. Level: School, College, Mathematics Education

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The figure below shows four mutually tangent circles O1, O2, O3, and O4 so that angle O1O2O3 = 90 degrees. If radius of circle O1 = 4 and radius of circle O2 = 1, find the radius of circle O4.

 

Geometry Problem 1157 Four Circles, Mutually Tangent, 90 Degrees, Radius, Metric Relations

 

 

See Kaleidoscope of Problem 1157 base on Poincare Disk Model.

 

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