SOLUTION: A farmer owns a square field of side with a pole in one of the corners to which he tied his cow with a rope whose length is about is 10 m . what is the area available for the cow t

Question 324352: A farmer owns a square field of side with a pole in one of the corners to which he tied his cow with a rope whose length is about is 10 m . what is the area available for the cow to grace.
A.150 sq.m b.125sq,m c.75sq.m d. not enough data.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
the rope is 10 m
tied at one end of a pole.
..
It can move in the field maximum from one side of the square to the other taking a circular path.
..
It can graze only an area of 1/4 of the area of a circle with radius 10m.
..
Area of circle with radius 10 = pi*10^2
Area = 314 sq. m
1/4 of 314 = 78.5 sq. m
RELATED QUESTIONS
A farmer owns a square field of side with a pole in one of the corners to which he tied... (answered by rfer)

A cow is tied to one corner of a square plot of side 12m by a rope 7m long. Find the area (answered by Cromlix)

Scott set up a volleyball net in his backyard. One of the poles, which forms a right... (answered by mananth)

If a goat is tied to a pole at one corner of a square paddock with one length of a side... (answered by Alan3354)

A cow is tied to a corner of a fenced rectangular plot of length 40m and breadth 14m.The... (answered by Fombitz,Theo,KMST)

A cow is tied to a corner of a rectangular plot of length 40m and breadth 14m.The length... (answered by Fombitz)

A cow is tied to the long side of a barn 10 feet from the corner. The rope being used to (answered by solver91311)

A horse is tied with a 21 m long rope to the corner of a field which is in the shape of... (answered by Alan3354)