We have to check if a circular hot tub will fit in the patio.
To do that we will look at the area of the patio (length and width).
This dimensions are 3 ft x 4 ft.
Then, for the hot tub to fit, its diameter will have to be less than 3 ft, which is the shortest dimension.
As the radius is 2.5 ft and the diameter of the hot tub will be twice the radius, the diameter will be 5 ft.
As the diameter of the hot tub is longer than the shortest dimension (the length of the patio), it will not fit.
Answer: The hot tub will not fit in the patio.