The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as he moves the herd. The arc the handler makes from the starting point to the return point should be a quarter of a circle.
Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle of radius 75 feet?
58.88 feet
117.75 feet
1,884 feet
4,415.63 feet
Ok, but the arc that he travels is 1/4 of the entire circumference. Set up a proportion.
1/4 = x/2πr
4x = 2πr
4x = 150π.
Now just use 3.14 for π and solve for x :)