How many radians are in a full circle?

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Multiple Choice

How many radians are in a full circle?

Explanation:
In radians, an angle is the arc length divided by the radius. For a full circle, the arc length is the circumference, which is 2πr. Dividing by the radius gives 2π. So a complete turn measures 2π radians. This also ties to degrees: 360 degrees is the same as 2π radians. The other numbers either represent half a circle (π radians), are just approximations (3.14), or represent two full turns (4π radians), not a single circle.

In radians, an angle is the arc length divided by the radius. For a full circle, the arc length is the circumference, which is 2πr. Dividing by the radius gives 2π. So a complete turn measures 2π radians.

This also ties to degrees: 360 degrees is the same as 2π radians. The other numbers either represent half a circle (π radians), are just approximations (3.14), or represent two full turns (4π radians), not a single circle.

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