How do you convert from radians to degrees?

How do you convert from radians to degrees?

• A. Degrees = Radians × (180/π)
• B. Degrees = Radians × (π/180)
• C. Degrees = Radians + 180
• D. Degrees = Radians - (180/π)

Answer: (A)

To convert from radians to degrees, you can use the formula that factors in the relationship between these two units of angle measurement. Specifically, one complete revolution (360 degrees) corresponds to 2π radians. Thus, to find the degree measure equivalent to a radian measure, you multiply the measure in radians by the conversion factor derived from this relationship. The conversion factor can be expressed as follows: since 180 degrees corresponds to π radians, you can multiply radians by the fraction (180/π) to obtain degrees. This conversion effectively translates the radian value into its degree counterpart appropriately. This multiplication reflects how many degrees are represented in each radian. Using this knowledge, you can confidently calculate the degree value for any given radian measurement.

To convert from radians to degrees, you can use the formula that factors in the relationship between these two units of angle measurement. Specifically, one complete revolution (360 degrees) corresponds to 2π radians. Thus, to find the degree measure equivalent to a radian measure, you multiply the measure in radians by the conversion factor derived from this relationship.

The conversion factor can be expressed as follows: since 180 degrees corresponds to π radians, you can multiply radians by the fraction (180/π) to obtain degrees. This conversion effectively translates the radian value into its degree counterpart appropriately.

This multiplication reflects how many degrees are represented in each radian. Using this knowledge, you can confidently calculate the degree value for any given radian measurement.