Radon is a radioactive gas resulting from the decomposition of Urnaium. It is a problem for humans because it causes, or increases the likelihood of lung cancer. It is found in most parts of the country, and seems to occur almost randomly. One house may have it, and its neighbor might not. It occurs most often in areas with certain rock formations or faults (Oakland?) nearby. Home improvement stores around where I live have inexpensive test kits for Radon.
For homes with a Radon level above the "safe" EPA limit, you need to find a way for it to leave the area under your house without going through the occupied area. This is typically accomplished by installing a PVC vent pipe from under the basement slab up through the roof. It may or may not require a small fan. Any cracks in the basement floor are sealed, including the joint between the floor and wall. Then the pressure under the slab is slightly lower than above it, so the gas can't enter the living space. To ensure the sub-slab pressure is uniformly low, it is common to remove about 12-18 inches of the basement floor all the way around the perimeter. Then dig out the earth to the bottom of the footing. Lay a perforated black plastic pipe all the way around the basement and terminate in the sump crock. Then fill the trench with crushed rock and lay concrete. Caulk the floor-to-wall seam with urethane caulk. A seal cover goes over the sump, and a PVC pipe goes up through the house exiting above the roof line, or whatever your local code requires.
The same foundation perimeter drain system is used around here to remove ground water before it rises to basement floor level, so it is a simple addition to add the Radon vent. We have about four inches of gravel under the entire floor in Wisconsin homes, so water and Radon can easily flow to the perimeter drain, but I've read the perimeter drain is enough for most retrofits.
To summarize, the perimeter drain is an important part of the solution for both Radon and ground water. It would be a shame to put all the work into sloping your floor only to later discover you have Radon and still have to install the drain. Spend the $10 for a Radon test kit before you fix the water problem.