Question

Last one!! Help me please and thank you! I'll mark brainliest if I can!

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.

Answer 1

Answer:

r represents distance travelled by paint,and since its creating a circular pattern it means that we can take r to be the radius.

for part A,you just have to substitute r=3t in equation of area,so, Area=π(3t)²

part B asks the area by giving a value for time t.

Since t is already given in minutes we do not need to convert.

So area is,

A=π×(3×10)²

=900π units.