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Given that an intercepted arc has length 6π inches and the central angle is π 3 , find the radius of the circle.
A) 2 inches B) 3 inches C) 9 inches D) 18 inches

Respuesta :

bartdrinksmalk
The formula for arc length [tex]S[/tex], radius [tex]r[/tex], and angle [tex]\theta[/tex] is
[tex]S=r\theta[/tex]

So we get
[tex]6\pi=r*\frac{\pi}{3}[/tex]
[tex]\rightarrow\pi r=18\pi[/tex]
[tex]\rightarrow r=18[/tex]
yfnblakee

Answer:

18

Step-by-step explanation:

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