Which statement describes the method to convert radians to degrees?

Which statement describes the method to convert radians to degrees?

• A. Divide the radian number by 180
• B. Multiply the radian number by pi and divide by 180
• C. Multiply the radian number by 180 degrees and divide by pi
• D. Multiply the radian number by 180 and divide by pi

Answer: (D)

To convert radians to degrees, multiply by 180/π because π radians equal 180 degrees. So for any radian measure R, the degrees are R × (180/π). This is the same as multiplying the radian value by 180 and dividing by π. For example, π/3 radians becomes (π/3) × (180/π) = 60 degrees. Dividing by 180 alone would shrink the value, and multiplying by π then dividing by 180 is the inverse operation (it would convert degrees to radians rather than radians to degrees). The standard method is multiply by 180 and divide by π.

To convert radians to degrees, multiply by 180/π because π radians equal 180 degrees. So for any radian measure R, the degrees are R × (180/π). This is the same as multiplying the radian value by 180 and dividing by π. For example, π/3 radians becomes (π/3) × (180/π) = 60 degrees. Dividing by 180 alone would shrink the value, and multiplying by π then dividing by 180 is the inverse operation (it would convert degrees to radians rather than radians to degrees). The standard method is multiply by 180 and divide by π.