# What is 2 Pi radians in degrees? How to change radians into degrees (angular measure).

Radians are another type of angular measure. One radian is equivalent to 180/π degrees (or 57.3⁰). Certain calculations are much easier to work out in radians, such as, calculating the area and perimeter of a sector. Also make sure that you switch your calculator into radians if you are using any of the trigonometric functions, such as, cosine, sine, or tangent.

In order to change an angle from radians into degrees, all you need to do is multiply the angle in degrees by 180/π.

**Example 1**

What is 3 radians in degrees?

All you need to do is multiply by 180/π

3 × (180/π)

= 540/π

= 172⁰ rounded to 3 significant figures.

**Example 2**

What is π/3 radians in degrees?

Like example 1, all you need to do is multiply by 180/π.

(π/3) × (180/π)

= (180π/3π)

= 180/3 (the Pi on the numerator and denominator get cancelled out)

= 60⁰

**Example 3**

What is π/5 radians in degrees?

Again, multiply the radian angle by 180/π

(π/5) × (180/π)

= (180π/5π)

= 36⁰ (the Pi on the numerator and denominator get cancelled out)

**Example 4**

What is 2π radians in degrees?

Again, multiply the radian angle by 180/π

2π × (180/π)

= (360π/π)

= 360⁰ (the Pi on the numerator and denominator get cancelled out)

**Example 5**

What is (3π/2) in degrees?

Just like examples 1 to 4, just multiply the radian measure by 180/π

(3π/2) × (180/π)

= (540π/2π)

= 270⁰ (the Pi on the numerator and denominator get cancelled out)

So converting angles from radians into degrees is actually quite easy to do. All you need to do is multiply the angle in radians by 180/π.

## More by this Author

- 2
A quadrilateral is the name given to any shape with 4 sides. All the angles in a quadrilateral will sum to 360⁰. In this hub we will take a look at the main quadrilaterals that come up in math tests and list their...

- 26
A compound shape is a shape that is made up from other simple shapes. In this article we will be working out the area of a L shape (made up from 2 rectangles). To find the area of a compound shape, follow these simple...

- 0
The surface area of a triangular prism can be found in the same way as any other type of prism. All you need to do is calculate the total area of all of the faces. A triangular prism has 5 faces, 3 being rectangular and...