Respuesta :

Answer:

B) 3.44 feet

The Radius of the circle 'r' = 3.439 ≅3.44 feet

Step-by-step explanation

Step(i):-

Given data the length of arc = 3.6 feet long

       l = 3.6 feet

Given central angle 'θ' =  [tex]\frac{3}{9} \pi[/tex]

Step(ii):-

The arc length 'l' of a circle of radius 'r' with central angle 'θ' radians is given by

Arc length l = r θ

                 3.6 = r ([tex]\frac{3}{9} \pi[/tex])

          put   π = 3.14

now simplification, we get

            [tex]r = \frac{3.6 X9}{3\pi }[/tex]

           [tex]r = \frac{3.6 X9}{3X3.14 } = \frac{32.4}{9.42} = 3.439[/tex]

Conclusion:-

The Radius of the circle 'r' = 3.439 ≅3.44 feet

           

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