Does having radar mean I can go faster?
Not of itself. Radar appears in Rule 6(b) on both sides of the ledger. It can give you a 'more exact assessment' of the visibility and a picture of the traffic, which may support your choice of speed. It can also miss small vessels, ice and floating objects, and its performance depends on the set, the range scale and the sea and weather — all of which may argue for less speed, not more.
Rule 7(c) is the companion warning: assumptions must not be made on the basis of scanty information, 'especially scanty radar information'. A clear screen in fog is not, on its own, evidence of a clear sea.
How do I decide what speed is safe in practice?
Our suggestion: work through the 6(a) factors for the water you are in, then the 6(b) factors if you have radar, and ask the rule's two questions directly. If something appeared at the edge of what you can see or detect, could you take effective action in time? Could you stop in the room available? That means knowing your own vessel's stopping distance and turning circle, not guessing them.