Radians to Degrees Formula
When we measure angles we use two types of units degrees and radians, and in this lesson, we will learn about the radians to degrees formula. 1 degree is written as 1°. And 1 radian is written as 1 (or) 1^{c }i.e. if there is no unit after the measure of an angle, it means that it is in radians. The radians to degrees formula is used to convert radians to degrees. One revolution in a circle is divided into 360 equal parts and each part is called a degree. We use radians when we want to calculate the angle in terms of radius.
What Is the Radians to Degrees Formula?
Let us learn the radians to degrees formula using solved examples in the following sections. We can convert the radian into the degree,
Degrees = Radians × 180 / π

Example 1: Convert 45π radians into degrees using radians to degrees formula.
Solution:
To find: Value of 45π radians in degrees
Using radians to degrees formula
Degrees = Radians × 180 / π
X° = (180/π) × 45π
X°= 180 × 45
X°= 8100° or 180°
Answer: The angle in degrees is 180°.

Example 2: Convert 270 degrees into radians.
Solution:
To find: Value of 270° degrees in radians
Using Radians to Degrees Formula
Degrees = Radians × 180 / π
270°= (180/π) × X
X = (270 × π)/180
X = (3/2)π
Answer: The angle in radians is (3/2)π.