At around noon the store roof appears to have stopped leaking, so an employee removes the bucket that was catching the water and does not replace it. Overnight it begins to rain again, and water starts leaking from the ceiling onto the floor, again creating a circular puddle. The hole in the roof is larger this time, so at each time, t, in minutes, the radius of the puddle increases by 0.25 cm. Write a composition of functions to represent the area of the puddle as a function of time.
