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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2009

  • question_answer
    A cow is tied to a post by a rope. The cow moves along the circular path always keeping the rope tight. If it describes \[44\text{ }m,\] when it has traced out \[{{72}^{o}}\]at the centre, the length of the rope is

    A)  \[22\,\,m\]                       

    B)  \[56\,\,m\]

    C)  \[45\,\,m\]                       

    D)  \[35\,\,m\]

    Correct Answer: D

    Solution :

    Length of arc \[=2\pi r\times \frac{\theta }{{{360}^{o}}}\] \[\Rightarrow \]               \[44=2\times \frac{22}{7}\times r\times \frac{72}{360}\] \[\Rightarrow \]               \[r=\frac{44\times 7\times 5}{44}=35m\] Which is the length of the rope.


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