8th Class Mathematics Menstruation Question Bank Mensuration

  • question_answer An athletic track 14m wide consists of two straight sections 130m long joining semicircular ends whose inner radius in 3.5m. The area of the shaded region is:

    A)  \[=\frac{4}{3}\pi {{r}^{3}}=\frac{4}{3}\pi \times {{\left( \frac{x}{4\pi } \right)}^{3/2}}\]               

    B)  \[=\frac{4}{3}\pi \times \frac{x}{4\pi }\sqrt{\frac{x}{4\pi }}=\frac{x}{3}\sqrt{\frac{x}{4\pi }.}\]

    C)  \[\frac{\frac{4}{3}\pi {{r}^{3}}}{\frac{4}{3}\pi {{(21-r)}^{3}}}=\frac{64}{27}\]               

    D) None of these

    Correct Answer: A

    Solution :

    Area of shaded region \[130\sqrt{2}m\] \[72c{{m}^{2}}\] \[12\sqrt{35}c{{m}^{2}}\]

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