Tangent circles

Geometry Level 4

Two circles are tangent to each other, and their diameters \(d_1\) and \( d_2\) satisfy \(d_1 \times d_2=36\).
Segment \(AB\) is tangent to both circles. Find the length of \(AB\).

If you think that the length of \(AB\) depends on the relative values of \(d_1\) and \( d_2\), submit your answer as 9999.

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.