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How many degrees equal π in radians? How many revolutions (turns) equal π radians? ​
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How many degrees equal π in radians? How many revolutions (turns) equal π radians? ​

User Oleh Vasylyev
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12 votes

Answer:

It follows that the magnitude in radians of one complete revolution (360 degrees) is the length of the entire circumference divided by the radius, or 2πr / r, or 2π. Thus 2π radians is equal to 360 degrees, meaning that one radian is equal to 180/π ≈ 57.295779513082320876 degrees.

Step-by-step explanation:

User Hasan Barary
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