Answer:
Length of arc = 14.13
Step-by-step explanation:
Given:
Radius of circle, r = 5
An arc in the circle has a central angle of 162°
To find the length of the arc, L, let's use the formula:
[tex] L = 2\pi r \frac{\theta}{360}[/tex]
Where [tex] \theta[/tex] = 162°
Therefore, substituting figures, we have:
[tex]L = 2*3.14*5 (\frac{162}{360})[/tex]
L = 31.4 * 0.45
L = 14.13
Length of arc is 14.13 units