Online Geometry Problems

Online Geometry Problem 680: Concentric Circles, Radii, Chords, Perpendicular, Metric Relations. Level: High School, College, Mathematics Education

The figure shows two concentric circles with radii R and r. A chord AB of the outer circle meets the inner circle at C and D, respectively, CE is perpendicular to AB. If AC = a, CB = b, and CE = c, prove that Formula to prove.
 

Concentric circles. perpendicular chords, radii, metric relations
 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index671-680 | Circles | Concentric Circles | Diameters and Chords | Perpendicular lines | Perpendicular Chords | Solution / comment | By Antonio Gutierrez