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:
A sector showing a quarter of a circle is drawn. The radius is marked as 75 feet. The endpoints of the arc of the sector are marked as Starting Point and Return Point. The sector is filled with cattle.
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 rad
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OpenStudy (anonymous):
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
thats my last one
OpenStudy (mathstudent55):
It's 1/4 of the circumference of the circle.
jimthompson5910 (jim_thompson5910):
what is the circumference of the full circle?
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OpenStudy (anonymous):
*it cut off sry:
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?
OpenStudy (anonymous):
well 2*pi*r^2
jimthompson5910 (jim_thompson5910):
actually 2*pi*r
OpenStudy (mathstudent55):
|dw:1440986982486:dw|
OpenStudy (anonymous):
oh yeah sry
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jimthompson5910 (jim_thompson5910):
compute 2*pi*r where r = 75 is your radius
OpenStudy (mathstudent55):
|dw:1440987029344:dw|
jimthompson5910 (jim_thompson5910):
then multiply by 1/4, or divide by 4, to find the distance along the circle from the starting point to the return point
OpenStudy (anonymous):
117.75
OpenStudy (anonymous):
?
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jimthompson5910 (jim_thompson5910):
you used pi = 3.14 ?
OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
if that's what the instructions are, then yes, that's the distance along the circle from the starting point to the return point
OpenStudy (mathstudent55):
Correct. That is 1/4 of the circumference of the circle.
OpenStudy (anonymous):
(75*3.14*2)/4 = 117.75
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