# Just like Gianlino's Disc. Only 1000 times easier

**Geometry**Level 5

Next, a point \(E\) is randomly placed on the circumference of circle C centered at the origin with radius 1.

If the probability that the circumcenter of \(\triangle ABE\) lies within the circle of radius 3 can be represented by \(\dfrac{m}{n}\) where \(m,n\) are coprime positive integers, find m+n.