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

the circumference of a circle is

\[C = 2\pi r\]

you are dealing with a quarter of a circle radius 70 feet

let l be the arc length

\[l = \frac{1}{4} \times 2\times\pi \times70\]

the are length or distance travelled is

\[l = 35\pi \]

you may need to get a number answer... just multiply pi by 35 to find the number of feet

Answer 2

Thank you very much man!