10th Class Mathematics Areas Related to Circles Question Bank Areas Related to Circles

  • question_answer
    A man runs around a circle of radius 50 m at a speed of 12 km/h. The time taken by him for going around it ten times is ___. \[(\pi =3.14)\]

    A)  10 mins 42 sees

    B)  12 mins 35 sees

    C)  15 mins 42 sees

    D)  10 mins 35 sees

    Correct Answer: C

    Solution :

    Distance covered in one round is \[2\times 3.14\times 50=314m\] \[\therefore \]  Distance covered in 10 rounds = 3140 m Speed \[=12\text{ }km/hr\]             \[=12\times \frac{5}{18}m/\sec =\frac{10}{3}m/\sec \] Now, Time taken \[=\frac{Distance\text{ }covered}{~Speed}\]             \[=\frac{3140\times 3}{10}=942\sec s=15\text{mins}\,\,42\text{secs}\]


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