What is the value in degrees of 1 radian?

One radian is defined as the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. To convert radians to degrees, you can use the conversion factor where 180 degrees is equal to π radians. This means that to find how many degrees are in one radian, you can apply the following calculation:

1 radian = (180/π) degrees.

Using the approximation of π as 3.14159, the calculation becomes:

1 radian ≈ (180/3.14159) degrees ≈ 57.2958 degrees.

When rounded to two decimal places, this value is approximately 57.29 degrees, which corresponds with the choice given. Understanding this conversion helps in many engineering and design applications, especially when dealing with angular measurements in different systems.