An error in the measurement of the radius of a circle results in an error in the computation of its area. Find and interpret the sensitivity of area (a) of a circle to the measurement of radius, r, when the radius r=2 meters.

Answer 1

a = πr^2
da = 2πr dr

The error is ∆a which for small errors is approximately da.

So plug and chug.

Now, what does it all mean?