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 hareturn point should be a quarter of a circle:Direction of Desired Movement70 ftStartingPointReturnPointBased 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 70 feet? (6 points)

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 ha class=

Respuesta :

Answer:

[tex]\text{ Arc length=109.9 feet}[/tex]

Step-by-step explanation:

The arc length is represented by the following equation;

[tex]\begin{gathered} \text{ Arc length= 2}\pi r(\frac{\theta}{360}) \\ where, \\ r=\text{ radius} \\ \theta=\text{ angle} \end{gathered}[/tex]

Therefore, if the radius is 70 feet and it is a quarter of a circle:

[tex]\begin{gathered} \text{ Arc length=2}\pi *70*(\frac{90}{360}) \\ \text{ Arc length=35}\pi \\ \text{ Arc length=109.9 feet} \end{gathered}[/tex]