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Question

Physics Question on Units and measurement

If error in measuring diameter of a circle is 4 4\ %, the error in circumference of the circle would be

A

2%2\%

B

8%8\%

C

4%4\%

D

1%1\%

Answer

4%4\%

Explanation

Solution

Circumference, (s)=2πr=2πD2=πD\left(s\right)=2\pi r=2\pi \frac{D}{2}=\pi D dss×100%=dDD×100%=4%\therefore \frac{ds}{s}\times100\%=\frac{dD}{D}\times100\%=4\%