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

  • question_answer
    Priyanshu has a motor cycle with wheels of diameter\[\text{91 cm}\]. There are 22 spokes in the wheel. Find the length of arc between two adjoining spokes.

    A) \[\text{26 cm}\]

    B) \[\text{13 cm}\]

    C) \[\text{15 cm}\]

    D) \[\text{18 cm}\]

    Correct Answer: B

    Solution :

    [b] Radius of wheel \[=\frac{91}{2}cm\]
    Angle between two adjoining spokes,
    \[\theta =\frac{360{}^\circ }{22}\]
    \[\therefore \] Length of the \[arc=\frac{\theta }{360{}^\circ }\times 2\pi r\]
    \[=\frac{360{}^\circ }{360{}^\circ \times 22}\times 2\times \frac{22}{7}\times \frac{91}{2}=13cm\]


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