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3. The length of arc EF is 5 in. Find the length of the radius. E 30° F Radius:​

3 The Length Of Arc EF Is 5 In Find The Length Of The Radius E 30 F Radius class=

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FIND THE RADIUS

PROBLEM:

  • 3. The length of arc EF is 5 in. Find the length of the radius. E 30° F Radius:​

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ANSWER:

  • [tex]{\large{\underline{\boxed{\sf{\red{r=30\:in}}}}}}[/tex]

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SOLUTION:

[tex]\small{ \tt \purple{5\pi =2\pi r \times\frac{30}{360} }}[/tex]

[tex]\small{ \tt \purple{5\pi =2\pi r \times\frac{1}{12} }}[/tex]

[tex]\small{ \tt \purple{60\pi =2\pi r }}[/tex]

[tex]\small{ \tt \purple{r=\frac{60\pi }{2\pi } }}[/tex]

[tex]{\large{\underline{\boxed{\sf{\red{r=30\:in}}}}}}[/tex]

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