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SNAP 2014 Question-22

Q.) A horse take \frac { 5 }{ 2 } seconds to complete a round around a circular field. If the speed of the horse was 66 m/sec, then the radius of the field is,[Given \Pi =\frac { 22 }{ 7 }]

(a) 25.62 m
(b) 26.52 m
(c) 25.26 m
(d) 26.25 m

Solution:

Speed of the horse was 66 m/sec.

total distance travelled in \frac { 5 }{ 2 } seconds = \frac { 5 }{ 2 } X 66 = 165 metres

This will be equal to the circumference of the Circle.

2\Pi r= 165

=> 2X\frac { 22 }{ 7 } X r = 165

=> r = \frac { 165X7 }{ 2X22 } = 26.25 m

Hence , Option(d)


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