A vat 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.
Part B: How large is the area of spilled milk after 4 minutes? You may use 3.14 to approximate π in this problem.
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