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CAT 1998 | Question: 66

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A cow is tethered at A by a rope. Neither the rope nor the cow is allowed to enter the triangle ABC.

$m\angle A=30^{\circ}$
$1(AB)=1(AC)=10m.$
$1(BC)=6m$

What is the area that can be grazed by the cow if the length of the rope is $8$ m?

  1. $133 1/6 \pi$ sq.m 
  2. $121 \pi$ sq.m
  3. $132 \pi$ sq.m
  4. $176/3$ p sq.m

 

 

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