Question

In a certain experiment, the diameter of a disc was measured to be 4.25 cm. If the percent error for the value of pi was 0.4%, what are the possible value of its circumference?

Answer 1

Solution :-

The experimentally determined value for π is 0.4%

=> 0.4%

=> (0.4/100) ×π

=> 0.004π

D = 4.25cm

Possible value of π =

π+ 0.004 π = 1.004 π

The circumference of the end of the cylinder is:

C=2πr = D ×π

=> 4.25 ×π

=> 4.25 × 1.004 π =4.267 π

circumference = 4.267× 3.141

=> 13.40 cm

The possible value of circumference = 13.40cm.

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=============@GauravSaxenap01

Answer 2

In a certain experiment, the diameter of a disc was measured to be 4.25 cm. If the percent error for the value of pi was 0.4%, what are the possible value of its circumference?

Diameter = 4.25 cm

percent error of value of pi = 0.4%

= (0.4/100) * pi

= 0.004pi

extreme possible values of pi

pi + 0.004 pi = 1.004 pi

pi - 0.004 pi = 0.996 pi

circumference = 2piR

= diameter × pi

= 4.25 × pi

4.25 × 1.004 pi =4.267 pi

4.25 × 0.996 pi = 4.233pi

possible values of circumference =

4.233pi to 4.267pi