JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Application in Mechanics and Rate Measurer

  • question_answer
    If the radius of a circle increases from 3 cm to 3.2 cm, then the increase in the area of the circle is

    A)            \[1.2\pi \,\,c{{m}^{2}}\]

    B)            \[12\pi \,\,c{{m}^{2}}\]

    C)            \[6\pi \,\,c{{m}^{2}}\]

    D)            None of these

    Correct Answer: A

    Solution :

               We know that area of a circle is\[A=\pi {{R}^{2}}\]            \[\therefore \frac{dA}{dt}=2\pi R\frac{dR}{dt}=1.2\pi c{{m}^{2}}\].


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