Question

the error in the measurement of radius of a circle is 0.6 %.find the percentage error in the calculation of the area of the circle

Answer 1

First take absolute value from radius and then get absolute error in it ...multiply relative error into 100 u will get percentage error

Answer 2

Answer:

Explanation:

delta r/r x 100 = 0.6

delta r/r= 0.6/100

=0.006

area of circle = pi r^2

(pi can be omitted since it is a dimensionless constant)

*delta A/A x 100 = 2 x delta r/r = 100

=2 x 0.06

= 0.12%

(error in measurement of area = 0.12% )