Question 1159984
12 m diameter 
6 m radius
A=pi*r^2=36 pi m^2

circumference of pond is pi*D=12 pi meters
The circumference of the path:  The path is a circle with diameter 16 m, 2 on each side of the pond, so radius is 8 m
The area of pond+path is 64 pi m^2.  The area of the pond alone is 36 pi m^2, so the path is 28 pi m^2=87.96 m^2  or 88 m^2
The cost will be 88m^2*$55/m^2=$4840. My eyes saw a $ in place of another 5. Sorry!