SOLUTION: In circle O, the m angle DOG = 92° and the length of arc DG is 16. Calculate the length of the radius. Use 3.14 for π. How would you find this? Do not tell me the answer but s

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: In circle O, the m angle DOG = 92° and the length of arc DG is 16. Calculate the length of the radius. Use 3.14 for π. How would you find this? Do not tell me the answer but s      Log On

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Question 429585: In circle O, the m angle DOG = 92° and the length of arc DG is 16. Calculate the length of the radius. Use 3.14 for π. How would you find this? Do not tell me the answer but show me how one would accomplish this problem.
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In circle O, the m angle DOG = 92° and the length of arc DG is 16.
Calculate the length of the radius. Use 3.14 for π.
How would you find this?
Do not tell me the answer but show me how one would accomplish this problem.
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Convert the 92 degrees to radians by multiplying by pi/180
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Use the formula: "arc length = (theta)*radius" to find the radius.
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Cheers,
Stan H.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
In circle O, the m angle DOG = 92° and the length of arc DG is 16. Calculate the length of the radius. Use 3.14 for π. How would you find this? Do not tell me the answer but show me how one would accomplish this problem.
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C+=+2pi%2Ar total circumference
Arc+=+C%2A%28angle%2F360%29
16+=+2%2Api%2Ar%2892%2F360%29
r =~ 9.964
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Using radians is recommended, as the other tutor did.
It simplifies things, tho they're scary at first.