SOLUTION: 1) use differentials to approximate the area change in a circle when the radius changes from 5 to 5.01

Algebra ->  Surface-area -> SOLUTION: 1) use differentials to approximate the area change in a circle when the radius changes from 5 to 5.01      Log On


   

Question 1034352: 1) use differentials to approximate the area change in a circle when the radius changes from 5 to 5.01
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Since
A+=+pi%2Ar%5E2
we have
dA%2Fdr+=+2%28pi%29r and
dA+=+2%28pi%29r+dr
Plugging in we get
dA+=+2%28pi%29%285%29%28.01%29+=+.314