We present direct measurements of the spatial distribution of ionizing radiation and low energy neutrons (E_n < 200 keV) inside the tracking volume of the collider detector at Fermilab (CDF). Using data from multiple exposures, the radiation field can be separated into components from beam losses and collisions and can be checked for consistency between the measurements. We compare the radiation measurements with an increase in the leakage currents of the CDF silicon detectors and find reasonable agreement.