Question

Given an arc length of 6 pie and a radius of 2 find the measure of the central angle formed by the arc

Answer 1

Θ=3$\pi$ radians

Step-by-step explanation:

Step 1:

Let the arc length (S) be 6$\pi$ units

Radius of Arc(r) = 2 units

By the basic formula to find the central angle we have

    $S=r*$Θ

where, S= Arc length

            r= Radius of arc

            Θ = Central angle

Step 2:

From the formula to find Θ,

          Θ = (S/r)

           Θ = ( 6$\pi$ ) / ( 2 )

           Θ   = 3$\pi$ radians