Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 5t, where t represents time in minutes and p represents how far the paint is spreading.
the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = πp2.
part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. (6 points)
part b: how large is the area of spilled paint after 2 minutes? you may use 3.14 to approximate π in this problem. (4 points)