Question

Can anyone at all help with this or it's too hard?
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 70 feet?

Answer 1

a quarter of a circle is \[\frac\pi2\]radians, and arc length s is given by\[s=r\theta\]where theta is in radians, and r is the radius

Answer 2

you are given r and theta
finds s

Answer 3

find s*

Answer 4

1758.4?

Answer 5

I don't think you used radians...

Answer 6

what is r ?

Answer 7

70

Answer 8

good
and what is the angle, theta, in radians?

Answer 9

idk

Answer 10

have you ever heard the term radians before?

Answer 11

Yeah

Answer 12

so hopefully you remember that a complete circle is \(2\pi\) radians
what then, is a quarter-circle?

Answer 13

so 3846.5 feet

?

Answer 14

a quarter circle is one forth or a quarter of the circumference of a circle right?