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Levart [38]
3 years ago
15

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

Mathematics
1 answer:
Semmy [17]3 years ago
6 0

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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