How do you convert numbers to angle degrees?

• To convert a number to an angle in degrees, you need to know the relationship between degrees and radians. One full circle is 360 degrees or 2π radians. Therefore, we can use the following formula to convert from radians to degrees:

Angle in degrees = Angle in radians × (180/π)

• So to convert a given number to an angle in degrees, follow these steps:

1. Determine whether the given number is in radians or some other unit of measure.

2. If the given number is in radians, multiply it by (180/π) to convert it to degrees.

• For example, let's say we have an angle of 2.5 radians that we want to convert to degrees:

Angle in degrees = 2.5 radians × (180/π) = 143.24 degrees

Therefore, an angle of 2.5 radians is equivalent to 143.24 degrees.