Home > categories > Machinery & Equipment > Silos > cow grazing question?
Question:

cow grazing question?

A cow is teathered to a silo of diameter 30 feet on a 100 foot length of rope. How much area can the cow graze on? - This is not a circle involute the rope is longer than the arc length of 15pi- also it is not the same as all the other cow/goat grazing questions I have seen so please dont tell me to look at the othersAny help would be appreciated. This is the first time my son has asked me a question I cant seem to figure out.

Answer:

sounds like just finding the area of 2 circles... (pi * r^2) you have the larger circle that the cow can walk around (assuming that the rope can go perfectly 100 ft around the silo) where the radius is 100 ft + half the diameter of the silo: 100 + (30/2) = 115 ft radius then you have the smaller circle in the middle that the cow can't eat out of... radius is half the diameter (30/2) = 15 ft radius So find the area of the big circle and subtract the area of the small circle.... i think hope it helps!

Share to: