Three Concentric Circles

Geometry Level 4

Three concentric circles A,B,CA,B,C have the property that the radius of AA is bigger than the radius of BB, and the radius of BB is bigger than the radius of CC. A chord of circle BB of length 22 is drawn such that it is tangent to circle CC; a chord of circle AA of length xx is drawn such that it is tangent to circle BB. If the area between circle AA and BB is 20142014 times the area between circle BB and circle CC, then the value of xx can be expressed as a\sqrt{a} for some positive integer aa. Find the last three digits of aa.

×

Problem Loading...

Note Loading...

Set Loading...