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

Question

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

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Bella 1 week 2021-09-15T10:53:30+00:00 1 Answer 0

Answers ( )

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    2021-09-15T10:55:11+00:00

    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

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