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Which of the following degree measures is equal to 10π10\pi radians? (The number of degrees of arc in a circle is 360360. The number of radians of arc in a circle is 2π2\pi.)

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Full solution

Q. Which of the following degree measures is equal to 10π10\pi radians? (The number of degrees of arc in a circle is 360360. The number of radians of arc in a circle is 2π2\pi.)
  1. Convert to degrees: Convert radians to degrees by using the conversion factor that 11 radian equals approximately 5757.29582958 degrees. Calculate 10π 10\pi radians in degrees: 10π×180π=1800 10\pi \times \frac{180}{\pi} = 1800 degrees.

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