How many degrees is a radian equal to?

A radian is defined as the angle formed when the arc length of a circle is equal to the radius of that circle. In terms of degrees, one complete revolution around a circle corresponds to (2\pi) radians, which is equal to 360 degrees. Therefore, to convert radians to degrees, the formula used is:

[ \text{Degrees} = \text{Radians} \times \left(\frac{180}{\pi}\right) ]

When converting one radian into degrees using this formula, it results in approximately 57.2958 degrees. This value rounds to 57.296 degrees, making it the most accurate representation of how many degrees are in one radian.