## Airman000 3 years ago 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

1. Airman000

|dw:1339117053309:dw|

2. Airman000

3. Airman000

What?

4. tim538

wait there might be someone who can explain it better. you ask @Calcmathlete

5. Airman000

I'm new, how do I do that?

6. Calcmathlete

Wait, is he going there and back?

7. tim538

you could send a message

8. Airman000

I'm so confuzzled right now.

9. Airman000

Yes calc

10. Calcmathlete

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 :)

11. Airman000

117.75?

12. Calcmathlete

Yup :) I'm pretty sure that's the answer.

13. Airman000

Thanks! :D

14. Calcmathlete

You're welcome ^_^