Circle Inscribed in a Parabola
Geometry
Level
4
The area of a circle centered at the origin, which is inscribed in the parabola \(y=x^2-100,\) can be expressed as \( \frac{a}{b} \pi,\) where \(a\) and \(b\) are coprime positive integers. What is the value of \(a+b\)?
by
Calvin Lin