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Q. 4.9  A cyclist starts from the centre O of a circular park of radius 1\; km, reaches the edge P  of the park, then cycles  along the circumference, and  returns to the centre along QO  as shown in Fig. 4.21. If the round trip takes  10 \; min. what is the

(c) the average speed of the cyclist?

  

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(c)  For finding average speed we need to calculate the total path travelled. 

Total path   =    OP + arc PQ  +  OQ   

                  = 1+ \frac{1}{4}(2\Pi \times1)+ 1

                   = 3.57\ Km

 Time\ taken\ in\ hour\ = \frac{1}{6}

So the avg. speed is   :

                   = \frac{3.57}{\frac{1}{6}}\ =\ 21.42\ Km/h

Posted by

Devendra Khairwa

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