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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##### 1 Attachment

- anonymous

- anonymous

thats my last one

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## More answers

- mathstudent55

It's 1/4 of the circumference of the circle.

- jim_thompson5910

what is the circumference of the full circle?

- 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?

- anonymous

well 2*pi*r^2

- jim_thompson5910

actually 2*pi*r

- mathstudent55

|dw:1440986982486:dw|

- anonymous

oh yeah sry

- jim_thompson5910

compute 2*pi*r where r = 75 is your radius

- mathstudent55

|dw:1440987029344:dw|

- 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

- anonymous

117.75

- anonymous

?

- jim_thompson5910

you used pi = 3.14 ?

- anonymous

yes

- 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

- mathstudent55

Correct. That is 1/4 of the circumference of the circle.

- anonymous

(75*3.14*2)/4 = 117.75

- anonymous

yayyyyy

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