![](../landscape/landscape_px1.gif) |
|
Online Geometry
Problem 635: Semicircle, Diameter, Perpendicular,
Inscribed Circle, Radius. Level: High School, Honors Geometry, College,
Mathematics Education
|
The figure shows the semicircles of diameters AB (center O,
radius R), and CB (center D, radius r). Line CE
is perpendicular to AB and x is
the radius of the inscribed circle in ECB. Prove
that
.
![Semicircles, Perpendicular, Diameter, Inscribed Circle, Radius](p635_circle_radius.gif)
|
|
|
|
|
|
![](../landscape/landscape_bg_right.gif) |
![](../landscape/landscape_px1.gif) |