anonymous
  • anonymous
The circumference of the circle is 23 meters. Find the length of arc ab
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
possible answers A. 7.99 centimeters B. 7.99 meters C. 79.9 meters
anonymous
  • anonymous
Wait i'm gonna answer you in a minute

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anonymous
  • anonymous
\[C=2\pi r\]\[C_{arc}=2\left({\theta\over360}\right)\pi r\]
anonymous
  • anonymous
\[C=2\pi r\]\[C=23\]\[23=2\pi r\]\[C_{arc}=23\left({125\over360}\right)\]
anonymous
  • anonymous
@mxolisi3903 that's not the correct way
anonymous
  • anonymous
@lujanels1 , work out what i just said, you should and will get the right answer
anonymous
  • anonymous
Okay first of all you need to remember that the circumference of a circle has the equation \[C = 2\pi r\] but we already know what C is and so if we want we can make the unknown the subject of the formula \[r=\frac{ C }{2 \pi }\] and substitute C=23m and we should get to an answer of r=\[\frac{ 23 }{ 2 \pi }\]=3.66m and so we can use our famous formula that i'm sure you are familiar with \[\theta =\frac{ ab }{ r } \] where ab is the arc length and r is the radius calculated above and so we have ab=θ×r=2.181×3.66=7.98m I beg your pardon I forgot to convert 125 to radians which can be done as for follows \[125 \times \frac{ \pi }{ 180 }\]

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