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)



21.25 feet


133.45 feet


66.73 feet


88.97 feet

Answer 1

Answer:

The answer is "133.45 feet"

Step-by-step explanation:

Radius and central angles in radians are multiplied to get the arc length. Its answer to the question would be that the controller creates an arc that is a quarter of a circle in size.

$360^{\circ} \div 4 = 90^{\circ}$

Change degree into radian:

$\to 90^{\circ}\times \frac{3.14}{180} = 1.57$

radius= 85 feet

$\to 85 \times 1.57 = 133.45$