Avat of milk has spilled on a tile floor. the milk flow can be expressed with the function r(t) = 4t, where t represents time in minutes and r represents how far the milk is spreading.

the spilled milk is creating a circular pattern on the tile. the area of the pattern can be expressed as a(r) = πr2.

part a: find the area of the circle of spilled milk as a function of time, or a[r(t)]. show your work. (6 points)

part b: how large is the area of spilled milk after 4 minutes? you may use 3.14 to approximate π in this problem. (4 points)