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SSC Sample Paper SSC CGL - Sample Paper-9

  • question_answer
    If the circumference and area of a circle are numerically equal, then the diameter is equal to

    A)  Area of the circle

    B)  \[\frac{\pi }{2}\]

    C)  \[2\pi \]                        

    D)  4

    Correct Answer: D

    Solution :

    We know that The area of circle \[=\pi {{r}^{2}}=\frac{\pi {{D}^{2}}}{4}\] [where D : Diameter of circle] and Circumference of circle             \[=2{{\pi }^{2}}r=\pi D\] Now, according to question,             \[\frac{\pi {{D}^{2}}}{4}=\pi D\]             \[{{D}^{2}}=4D\] or         \[D(D-4)=0\] or         D = 4


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