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Maru [420]
3 years ago
14

The length of the arc intercepted by a central angle of 3/9 pie is 3.6 feet long. How long is the radius of the circle?

Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0

Answer:

B) 3.44 feet

<em>The Radius of the circle 'r' = 3.439 ≅3.44 feet</em>

Step-by-step explanation

<u><em>Step(i)</em></u>:-

<em>Given data the length of arc = 3.6 feet long</em>

       l = 3.6 feet

Given central angle 'θ' =  \frac{3}{9} \pi

<u><em>Step(ii)</em></u>:-

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

Arc length l = r θ

<em>                  </em>3.6 = r (\frac{3}{9} \pi)

          put   π = 3.14

now simplification, we get

            r = \frac{3.6 X9}{3\pi }

           r = \frac{3.6 X9}{3X3.14 } = \frac{32.4}{9.42} = 3.439

<u><em>Conclusion</em></u>:-

<em>The Radius of the circle 'r' = 3.439 ≅3.44 feet</em>

           

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