The area of a circle centered at the origin, which is inscribed in the parabola y=x^{2}-25, can be expressed as \frac{a}{b} \pi, where a and b are coprime positive integers. What is the value of a+b?
The area of a circle centered at the origin, which is inscribed in the parabola y=x^{2}-25, can be expressed as \frac{a}{b} \pi, where a and b are coprime positive integers. What is the value of a+b?