Question

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?

Answer 1

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' =  $\frac{3}{9} \pi$

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 ($\frac{3}{9} \pi$)

          put   π = 3.14

now simplification, we get

            $r = \frac{3.6 X9}{3\pi }$

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

Conclusion:-

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