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  • Confused! kindly explain, If the error in measuring diameter of a circle is 4%, the error in the circumference of the circle will be

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

  • Option 1)

    2%

  • Option 2)

    7%

  • Option 3)

    5.2%

  • Option 4)

    (5/2)%

 

Answers (1)

As we learnt in 

Percentage error in the value of x -

\dpi{100} x= \frac{\left ( \Delta a+\Delta b \right )}{a+b}\times 100\%

- wherein

\Delta a= absolute error in measurement of a

\Delta b= absolute error in measurement of b

\Delta x= absolute error in measurement of x

 

 D\propto r  therefore there will be no change in error, it will remain 4% for radius also.


Option 1)

2%

Incorrect

Option 2)

7%

Incorrect

Option 3)

5.2%

Correct

Option 4)

(5/2)%

Incorrect

Posted by

Vakul

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