Final answer:
The expression for the perfect pole radius (R) given the width of the lawnmower (W) and the length of the rope (L) can be written as R = (L^2 - W^2)^(1/2).
Step-by-step explanation:
The expression for the perfect pole radius (R) given the width of the lawnmower (W) and the length of the rope (L) can be written as:
R = (L^2 - W^2)^(1/2)
This expression calculates the radius of the circle that the lawnmower can cover while being connected to the pole by a rope of length L. By subtracting the width of the lawnmower from the square of the length of the rope and taking the square root, we can find the perfect pole radius.