Answer:
The measure of the central angle whose radii define the arc is [tex]\mathbf{\frac{4\pi }{5} }[/tex]
Step-by-step explanation:
Radius of circle = 10 cm
Length of arc = [tex]8\pi[/tex]
We need to find Theta [tex]\theta[/tex]
The formula used will be: [tex]S=r \theta[/tex]
S= length of arc, r = radius and [tex]\theta[/tex] = angle
Putting values and finding \theta
[tex]S=r \theta\\8\pi =10 \theta\\\theta=\frac{8\pi }{10} \\\theta=\frac{4\pi }{5}[/tex]
So, the measure of the central angle whose radii define the arc is [tex]\mathbf{\frac{4\pi }{5} }[/tex]
