ethanper19 ethanper19
  • 07-06-2018
  • Mathematics
contestada

Circle F has a diameter of 36m and = 240o. Find the length of . Leave your answer in terms of pi.

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rejkjavik rejkjavik
  • 01-12-2018

Answer:

So, the arc length is [tex]24\pi [/tex]

Step-by-step explanation:

We are given

diameter =36m

so, we can find radius

[tex]r=\frac{36}{2}=18m[/tex]

and angle as

[tex]\theta=240[/tex]

Since, it is in degree

so, we can change it in radian

[tex]\theta=240\times \frac{\pi}{180}[/tex]

[tex]\theta=\frac{4\pi}{3}[/tex]

now, we can find arc length

[tex]L=r\times \theta[/tex]

now, we can plug values

[tex]L=18\times \frac{4\pi}{3}[/tex]

[tex]L=24\pi [/tex]


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