What is the relative error 29 3 The radius of a circular dis

What is the relative error?

2-9 #3

The radius of a circular disk is given ascm with a maximum error in measurement ofcm. Use differentials to estimate the maximum possible error in the calculated area of the disk. What is the relative error?

Solution

Error in area = 2* error of radius = 2*0.2 = 0.4 cm Relative error = 0.4/pi/28^2 = 0.0001624