Answered

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Find the radius when the arc is / and / radians

Find The Radius When The Arc Is And Radians class=

Sagot :

The arc length formula is :

[tex]l=r\theta[/tex]

where r = radius

θ = angle in radians

and l = arc length

From the problem, the arc length is 18π/7 and the angle is 6π/7.

Using the formula above :

[tex]\begin{gathered} \frac{18\pi}{7}=r(\frac{6\pi}{7}) \\ 18\pi=r(6\pi) \\ r=\frac{18\pi}{6\pi} \\ r=3 \end{gathered}[/tex]

ANSWER :

The radius is 3

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