The radius of the circle will be 54.
Given,
The length of the arc is 24[tex]\pi[/tex].
The angle made by that arc is 80°.
We have to calculate the radius of the circle.
We know that,
[tex]\rm Angle=\dfrac{Arc}{Radius} \\[/tex]
So,
[tex]80^\circ=\dfrac{24\pi }{\rm Radius}[/tex]
Since [tex]\pi[/tex] is equivalent to 180°.
[tex]\rm Radius=\dfrac{24\times 180^\circ}{80^\circ}[/tex]
[tex]\rm Radius =54[/tex]
Hence the radius of the circle is 54.
For more details on radius of circle follow the link:
https://brainly.com/question/16574171
