In a Rutherford scattering experiment, each atom in a thin foil can be considered a "target" with a circular cross section. Alpha particles are fired at this target, with the nucleus as the "bull's eye." The ratio of the cross-sectional area of the nucleus to the cross-sectional area of the atom is equal to 2.2 x 10^-7. The radius of the atom is 1.3 x 10^-11m. What is the radius of the nucleus?