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3
of a revolution represents approximately how many radians?

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Final answer:

3/1 of a revolution represents approximately 6π radians.


Step-by-step explanation:

A full revolution represents 2π radians, where π is approximately 3.14159. Therefore, to find out how many radians 3/1 of a revolution represents, we can set up a proportion:

(3/1 revolution) / (2π radians) = x radians

Cross multiplying and simplifying, we get:

x = (3/1) * (2π radians) = 6π radians

So, 3/1 of a revolution represents approximately 6π radians.


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