The radius of a circle increases from 2 meters to 2.1 meters. Use differentials to estimate the increase in the area of this circle

I dont understand how to do this type of problem could someone help?

2 answers

Area=PI*r^2
dArea=PI*2r*dr
so if dr is .1m

dA=PI(.1)(2*2)= .4PI estimate

check, actual change in area.
dA= Af-Ai=PI(2^2-2.1^2) = .41PI
huh? i dont get it