Acontainer of oil has spilled on a concrete floor. the oil flow can be expressed with the function n(t) = 7t, where t represents time in minutes and n represents how far the oil is spreading.

the flowing oil is creating a circular pattern on the concrete. the area of the pattern can be expressed as a(n) = πn2.

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

part b: how large is the area of spilled oil after 8 minutes? you may use 3.14 to approximate π in this problem. (4 points)