Which statement describes the method to convert degrees to radians?

Which statement describes the method to convert degrees to radians?

• A. Multiply degrees by 180 and divide by pi
• B. Multiply degrees by pi and divide by 180
• C. Multiply degrees by 180 and multiply by pi
• D. Divide degrees by pi

Answer: (B)

Converting degrees to radians relies on the fact that 180 degrees equals pi radians. So an angle in degrees d becomes d times pi/180 radians. This factor pi/180 is exactly what you multiply by to switch from degrees to radians. For example, 60 degrees becomes 60 * pi/180 = pi/3 radians, and 90 degrees becomes pi/2. The correct method is multiply by pi and divide by 180 because radians = degrees × (pi/180). The other options either mix up the conversion direction or apply the wrong factor, leading to values that don’t match the radian measure.

Converting degrees to radians relies on the fact that 180 degrees equals pi radians. So an angle in degrees d becomes d times pi/180 radians. This factor pi/180 is exactly what you multiply by to switch from degrees to radians. For example, 60 degrees becomes 60 * pi/180 = pi/3 radians, and 90 degrees becomes pi/2. The correct method is multiply by pi and divide by 180 because radians = degrees × (pi/180). The other options either mix up the conversion direction or apply the wrong factor, leading to values that don’t match the radian measure.