NICET - Highway Construction Inspection Practice Exam

What is the formula for converting radians to degrees?

1. Radian * 180/π

2. Radian * π/180

3. Radian * 360

4. Radian * 90/π

The correct answer is: Radian * 180/π

The formula for converting radians to degrees is derived from understanding the relationship between the two units of angular measurement. There are 180 degrees in π radians, which forms the basis of the conversion. When converting radians to degrees, you multiply the radian measure by the fraction 180/π. This fraction signifies that each radian corresponds to 180/π degrees. By applying this conversion factor, you establish a direct relationship that allows for an accurate transformation from radians to degrees. For example, if you have an angle expressed in radians and you want to know the equivalent degree measure, you would take that radian measure and multiply it by 180/π. This ensures that you effectively scale the radian value to its degree equivalent based on the established proportion. Therefore, using this specific multiplication yields the correct degree measurement needed in various applications, whether in engineering, construction, or physics.