Cow in a field

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(CAT 1998)

A cow is tethered at point A by a rope. Neither the rope nor the cow is allowed to enter ΔABC.










∠BAC = 30°
I(AB) = I(AC) = 10 m

1. What is the area that can be grazed by the cow if the length of the rope is 8 m?
a. 134π 1/3 sq.m
b. 121π sq. m
c. 132π sq. m
d. (176/3)π sq. m

2. What is the area that can be grazed by the cow if the length of the rope is 12 m?
a. 133π 1/6 sq.m
b. 121π sq. m
c. 132π sq. m
d. (176/3)π sq. m

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