Radians to Degrees Converter (rad to °)

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Convert to:

Enter Radians:

Result in Degrees:

How to Convert Radians to Degrees (rad to °)?
Conversion Example: Radians to Degrees
Radians to Degrees Conversion Table
Frequently Asked Questions

How to Convert Radians to Degrees (rad to °)?

The conversion from radians to degrees is simple: 1 radian equals 180/π degrees. To convert, multiply the number of radians by 180/π.

Formula

\text{Degrees} = \text{Radians} \times \frac{180}{\pi}

Conversion Example: Radians to Degrees

With these steps, you can easily convert radians to degrees. Below, we provide practical examples to ensure the procedure is clear and easy to follow.

Example 1

Example 1: Convert π radians to degrees.

\text{Degrees} = \pi \times \frac{180}{\pi} = 180\,\text{Degrees}

Result: π radians equals 180 degrees.

Example 2

Example 2: Convert π/4 radians to degrees.

\text{Degrees} = \frac{\pi}{4} \times \frac{180}{\pi} = 45\,\text{Degrees}

Result: π/4 radians equals 45 degrees.

Radians to Degrees Conversion Table

Radians	Degrees	Decimal Value (rad)
π/6 rad	30°	0.5236 rad
π/4 rad	45°	0.7854 rad
π/3 rad	60°	1.0472 rad
π/2 rad	90°	1.5708 rad
2π/3 rad	120°	2.0944 rad
3π/4 rad	135°	2.3562 rad
5π/6 rad	150°	2.6180 rad
π rad	180°	3.1416 rad
7π/6 rad	210°	3.6652 rad
5π/4 rad	225°	3.9269 rad
4π/3 rad	240°	4.1888 rad
3π/2 rad	270°	4.7124 rad
5π/3 rad	300°	5.2360 rad
7π/4 rad	315°	5.4978 rad
11π/6 rad	330°	5.7596 rad
2π rad	360°	6.2832 rad

Frequently Asked Questions

How do I convert radians to degrees?

To convert radians to degrees, multiply the radians by 180 and divide by π. Formula: degrees = radians * (180 / π).

How many degrees are in π radians?

π radians equal 180 degrees.

How many degrees are in π/2 radians?

π/2 radians equal 90 degrees.

How many degrees are in 2π radians?

2π radians equal 360 degrees.

How do I convert 1 radian to degrees?

1 radian is approximately equal to 57.2958 degrees. Use the formula: 1 * (180 / π).