If an angle measures π radians, what is its measure in degrees?

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Multiple Choice

If an angle measures π radians, what is its measure in degrees?

Explanation:
Radians and degrees measure the same angle in different units, so we can use the relation that a full turn is 2π radians, which equals 360 degrees. Half a turn is π radians, which is half of 360 degrees, giving 180 degrees. Using the conversion degrees = radians × 180/π, we get π × 180/π = 180. So π radians corresponds to 180 degrees. The other values would correspond to quarter turns (90 degrees), three-quarter turns (270 degrees), or a full turn (360 degrees).

Radians and degrees measure the same angle in different units, so we can use the relation that a full turn is 2π radians, which equals 360 degrees. Half a turn is π radians, which is half of 360 degrees, giving 180 degrees. Using the conversion degrees = radians × 180/π, we get π × 180/π = 180. So π radians corresponds to 180 degrees. The other values would correspond to quarter turns (90 degrees), three-quarter turns (270 degrees), or a full turn (360 degrees).

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