Question

why is it that when we are converting from radians to degrees, we multply the value by 180 over pi and not pi over 180?

Answer 1

When converting from radians to degrees, we multiply the value by 180⁄π and not π⁄180. This is because there are 360 degrees in a circle or one revolution, and 2π radians is equal to one revolution.

Step-by-step explanation:

When converting from radians to degrees, we multiply the value by 180⁄π and not π⁄180. This is because there are 360 degrees in a circle or one revolution, and 2π radians is equal to one revolution. So we use the conversion factor 1 radian = 180⁄π degrees.