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The radius will be equal to 7.55 centimeters.
The arc length is the curved length on the circumference of a circle suspended by a small angle.
The radius will be calculated as follows:-
r = [tex]\dfrac{Arc}{Angle}[/tex]
r = [tex]\dfrac{\dfrac{26\pi}{9}}{\dfrac{69\times \pi}{180}}[/tex]
r = [tex]\dfrac{9.07}{1.20}[/tex]
r = 7.55 centimeters
Therefore the radius will be equal to 7.55 centimeters.
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