The length of a rope to which a cow is tied, is increased from 19m to 30m. How much additional ground will it be able to graze? Assume that the cow is able to move on all sides with equal ease.    

A     1696 sq m

B     1694 sq m

C    1594 sq m

D    1756 sq m

Solution

Correct Answer: Option B

 

Area of a circle = Pi * (radius)2, where Pi = (22/7) When the length of the rope is increased to 30 m, grazing area becomes = (22/7) * 302 sq m. Therefore, the additional area it could graze when length is increased from 19m to 30m = 22/7*(302- 192) sq m. It can be simplified as (22/7)*(30+ 19)(30 - 19)=(22/7)*49*11 = 1694 sq m.

   

  

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