Question

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 with radius 80 feet?

125.6 feet
502.4 feet
83.73 feet
62.8 feet

Answer 1

@QuestionCoveBot

Answer 2

o-O To clarify a bit, I don't know A LOT of geometry. I don't understand this stuff, sadly. Sorry. Maybe @snowflake0531 can help you. :/

Answer 3

Darn it, well thank you for your recomendation

Answer 4

@snowflake0531

Answer 5

right, this has been answered be4 on questioncove

https://questioncove.com/updates/55e3b692e4b0445dfd11cb71

Answer 6

we cannot see the drawings, unfortunately -- the formula they used it \[\frac{2πr}{4} \]

Answer 7

oh nvm, we can lol

Answer 8

Well they didn't put it very well I suppose, are you completely sure this is the same exact one?

Answer 9

its not the exact one, clearly -- the numbers are different; that was just an example -- a very good one lol

Answer 10

Well, I guess I'll just try that then..

Answer 11

Did you figure it out?

Your question states:
`The arc the handler makes from the starting point to the return point should be a quarter of a circle`

That means the arc, which is the distance we're trying to calculate, is 1/4th of the circle

If it was the entire circle, then it would be the circumference

But this arc is a quarter of the circle so it's length is going to be 1/4 of the circumference

They tell you that the radius is 80 feet

So the formula for circumference is \( 2\pi r\)

and then you just divide by 4 to get the length of the arc

Answer 12

Ok thank you! I'll try to understand and if I have any questions I'll message you