A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function r(t) = 3t, where t represents time in minutes and r 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(r) = πr2.
Part A: Find the area of the circle of spilled paint as a function of time, or A[r(t)]. Show your work.
Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem.
