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 85 feet. The endpoints of the arc of the sector are ma

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? (6 points)

Group of answer choices

21.25 feet

133.45 feet

66.73 feet

88.97 feet

Answer 1

Answer:

133.45

Step-by-step explanation:

They are looking for arc length. The formula is

$\frac{n}{360}$ * 2πr

a quarter circle is 90°, so put 90 for n. 85 is the radius, so put that for r.

$\frac{90}{360}$ * 2 π (85)

133.45