Online Geometry Problem 908: Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Incenter, Inradius. Level: High School, Honors Geometry, College, Mathematics Education

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In a bicentric quadrilateral ABCD, I is the incenter and O the circumcenter, If AI =4 and CI =2, find the inradius.
A bicentric quadrilateral ABCD is a convex quadrilateral that has both an incircle I and a circumcircle O.

Geometry Problem 908: Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Incenter, Inradius