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:

A sector showing a quarter of a circle is drawn. The radius is marked as 80 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 ra

Answer 1

411.2

Answer 2

@surjithayer

Answer 3

If you can post the screenshot of the diagram it will help answer this question properly.

Answer 4

Half the circumference of a circle of radius 80 feet.

Answer 5

The answer would be 62.8 because you take 80 divided by 2 equals 40 to find your radius then we use that for arc length so 90 over 360 equals 1/4. So our equation should look like this 1/4 *2(3.14)(40) and you get 62.8

Answer 6

The handler travels quarter of a circle one way and on return travels another quarter of a circle for a total of half a circle.
The circumference of a circle of radius r is 2 * pi * r.
Half the circumference = 2 * pi * r / 2 = pi * r
put r = 80 feet above and calculate half the circumference.