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 85 feet? (4 points)
• 21.25
• 66.73 feet
• xx 88.97 feet
• 133.45 feet

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 of radius 85 feet?  (4 points)
•	 21.25
•	 66.73 feet
•	xx 88.97 feet
•	 133.45 feet

anonymous · Answer

Did i get this right?

anonymous · Answer

attachment

mathstudent55 · Answer

You need 1/4 of the circumference of a circle with 85 ft radius.

mathstudent55 · Answer

What is the circumference of a circle of 85-ft radius?

mathstudent55 · Answer

@Mertsj The figure shows the Starting point on the left and the Return point on the right. One way from start to return is 1/4 of the circumference. With the return trip, it would be 1/2 of the circumference, as you state, but the question is " what distance will the handler move from the starting point to the return point...", so wouldn't this mean just the quarter circumference arc and not the half circle arc?

mertsj · Answer

1/4 (2 pi r)= (pi r)/2 = 3.14(85)/2=133.5

mertsj · Answer

Yes.  Good point mathstudent55.  Thanks.

mathstudent55 · Answer

You're welcome, @Mertsj I'll admit the wording was a bit confusing.