sloppycanada
  • sloppycanada
What is the difference between exact value and value? Example - Find the value of 11radians/6 I think it's .87
Mathematics
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sloppycanada
  • sloppycanada
What is the difference between exact value and value? Example - Find the value of 11radians/6 I think it's .87
Mathematics
jamiebookeater
  • jamiebookeater
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sloppycanada
  • sloppycanada
Michele_Laino
  • Michele_Laino
in order to find the measure of your angle in degrees, we have to solve this proportion: \[\pi :180 = \left( {11/6} \right):x\] where x is therequested value. If we apply the fundamental property of proportion, we get: \[x = \frac{{180 \times \frac{{11}}{6}}}{\pi } = ...\] please complete my computation
sloppycanada
  • sloppycanada
x = 105.04

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Michele_Laino
  • Michele_Laino
that's right!
sloppycanada
  • sloppycanada
Okay so the value is the radians in degrees?
Michele_Laino
  • Michele_Laino
we have changed from radians to degrees, so we can say: 11/6 radians are equivalent to 105.04 degrees
sloppycanada
  • sloppycanada
So it's asking me for the percentage. Got it. I guess the decimals would be approximate value.
Michele_Laino
  • Michele_Laino
yes! we can rewrite your answer in a different way, like this: \[\Large 105^\circ 2'4''\]
Michele_Laino
  • Michele_Laino
where as usual: 60' = 1 degree 60'' = 1'
sloppycanada
  • sloppycanada
So the value of 11radians/6 is 105.04degrees. Assuming I round, 100 degrees?

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