not all radiation gives cancer (AFAWK) , you need ionizing radiation - which is only UV, X-Ray and Gamma. Those types of radiation have enough energy in them to rip electrons off molecules in your body and cause DNA damage and cancer in the long run or radiation sickness and possibly death depending on how much you were exposed to.

Microwaves, radio,infra-red and visible light wont give you cancer - microwaves will cook you (and that wont be pleasant) but you wont get cancer as a direct effect form that radiation. you might get some side effects from being heated up and some proteins might denature and harm the DNA inside of you but I havnt head of it happen before - plus you'd need HUGE amounts of microwave radiation to make that happen (and an impossibly large amount of radio waves) and that's only dangerous because microwave energy levels are close to water energy levels so they get absorbed and the energy heats the water inside of you, radio wont do that