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 80 feet?
125.6 feet
502.4 feet
83.73 feet
62.8 feet
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OpenStudy (anonymous):
OpenStudy (anonymous):
@magbak are you working on the equation?
OpenStudy (magbak):
Yes I am trying.
OpenStudy (magbak):
The answer is A.
OpenStudy (anonymous):
How?
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OpenStudy (magbak):
I will explain one sec.
OpenStudy (anonymous):
s'il vous plait.
OpenStudy (magbak):
Pas de problème.
OpenStudy (magbak):
Donne-moi une secound.
OpenStudy (anonymous):
...Yeah but no intention of replying.
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OpenStudy (magbak):
Ok.
OpenStudy (magbak):
The circumference of the circle is C = 2pi*r = 2pi*80 = 160pi
A quarter of this is 160pi/4 = 40pi = 125.663706143591
which is your answer