CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2010

  • question_answer
    If the error committed in measuring the radius of the circle is 0.05%, then the corresponding error in calculating the area is

    A)  0.05%                                  

    B)  0.0025%

    C)  0.25%                  

    D)         0.1%

    E)  0.2%

    Correct Answer: D

    Solution :

    Let the radius of circle be 100 unit. Then, area of circle\[=10000\pi sq\]unit The error in the radius is 0.05% Therefore, new radius is 100.05 unit. \[\therefore \] New area\[=10010.0025\text{ }sq\]unit \[\therefore \] Error in area \[=\frac{10010.0025\pi -10000\pi }{10000\pi }\times 100%\] \[=0.1%\]


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