10th Class Mathematics Areas Related to Circles Question Bank Area of Circle

  • question_answer
    The minute hand of a wall clock is of length 10.5 cm. What is the area covered by it in 60 minutes?

    A)  \[346.5\text{ }c{{m}^{2}}\]    

    B)  \[340\text{ }c{{m}^{2}}\]        

    C)  \[355\text{ }c{{m}^{2}}\]                  

    D)  \[342\text{ }c{{m}^{2}}\]

    Correct Answer: A

    Solution :

    (a): 1 minute \[=6{}^\circ \]     \[\therefore \] 60 minutes \[=360{}^\circ \] Area \[=\pi {{r}^{2}}\times \left( \frac{\theta }{360{}^\circ } \right)\];     Since, \[\theta =360{}^\circ \]        \[\therefore \] Area \[=\pi {{r}^{2}}\] \[\therefore \] Area \[=\pi {{(10.5)}^{2}}c{{m}^{2}}\]  


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