Railways Quantitative Aptitude Mensuration Sample Paper Mensuration Sample Test Paper-16

  • question_answer
    Four horses are tethered at four comers of a square plot of side 63 m so that they just cannot reach one another. The area left ungrazed is

    A)  \[858.5\,\,{{m}^{2}}\]

    B)  \[850.5\,\,{{m}^{2}}\]

    C)  \[798.8\,\,{{m}^{2}}\]

    D)  \[901.5\,\,{{m}^{2}}\]

    Correct Answer: B

    Solution :

    [b] Area of square field\[=63\times 63=3969\,{{m}^{2}}\] Area of field grazed by horses\[=4\times \frac{\pi {{r}^{2}}\theta }{360}\] \[=\frac{22}{7}\times \frac{36}{2}\times \frac{63}{2}\times \frac{90}{360}\times 4\] \[=3118.5\,{{m}^{2}}\] Required area \[=3696-3118.5=850.5\,{{m}^{2}}\,\]


You need to login to perform this action.
You will be redirected in 3 sec spinner