The radius of the circle will be 54.
Given,
The length of the arc is 24\(\pi\).
The angle made by that arc is 80°.
We have to calculate the radius of the circle.
We know that,
\(\rm Angle=\dfrac{Arc}{Radius} \\\)
So,
\(80^\circ=\dfrac{24\pi }{\rm Radius}\)
Since \(\pi\) is equivalent to 180°.
\(\rm Radius=\dfrac{24\times 180^\circ}{80^\circ}\)
\(\rm Radius =54\)
Hence the radius of the circle is 54.
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