The pond has a raduis of 5m The path has a width of 1m Work out the area of the path

First thing to do is to draw it.

The path and pool together have an radius of 6m

so together the area is 

$$A=\pi*6^2$$

But for the pool by itself the radius is 5 metres

so the area of just the pool is

$$A=\pi*5^2$$

The area of just the path must be the entire area minus the area of the pool.   

You can finish it.