HELP PLEASEEEEE
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. (6 points)

Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem. (4 points)

Question

HELP PLEASEEEEE
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. (6 points)

Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem. (4 points)

anonymous · Answer

i already know part b is 2826
i just need help with part a

godlovesme · Answer

sorry im not good at this ): 
@nnesha can u help? :)

anonymous · Answer

i already know part b is 2826
i just need help with part a

welshfella · Answer

its a matter of substituting r = 3t in the formula for the area
A = pi r^2 = pi (3t)^2

welshfella · Answer

now simplify

welshfella · Answer

A = 9 pi t^2

anonymous · Answer

thank you so much :)