Welcome to our Convert from Radians to Degrees Calculator.
This math calculator will help you to convert between angles in radians to angles in degrees.
You can also choose your own degree of accuracy.
How It Works
We can see the relationship between radians and degrees by looking at the angles in one full turn:
This shows us that 360° = 2π radians.
By dividing both sides of the equation by 2, we get:
180° = π radians
Using this equation, we can deduce the formulas for converting between radians and degrees.
The formula for converting an angle from radians to degrees:
\[ d = {180 \over \pi } r \]
where d is the angle in degrees and r is the angle in radians.
This means that to change an angle from radians to degrees:
Step 1) Multiply the number of radians by 180.
Step 2) Divide this result by π
So 2.3 radians = 131.8° to 1 decimal place.
Step 1) Multiply the number of radians by 180.
Step 2) Divide this result by π
So 1 ½ radians = 85.9° to 1 decimal place.
Step 1) Multiply the number of radians by 180.
Step 2) Divide this result by π
So π/3 radians = 60°.
Step 1) Multiply the number of radians by 180.
Step 2) Divide this result by π
So 5 ¼ radians = 300.80° to 2 decimal places.
Common Conversions Facts radians to degrees
Here are some a few quick simple conversion facts from radians to degrees.
RADIANS |
DEGREES |
\[ 0 \; radians \] | 0° |
\[ {\pi \over 2} \; radians \] | 90° |
\[ \pi \; radians \] | 180° |
\[ {3\pi \over 2} \; radians \] | 270° |
\[ 2\pi \; radians \] | 360° |
\[ {\pi \over 4} \; radians \] | 45° |
\[ {3\pi \over 4} \; radians \] | 135° |
\[ {\pi \over 6} \; radians \] | 30° |
\[ {\pi \over 3} \; radians \] | 60° |
\[ {2\pi \over 3} \; radians \] | 120° |
Take a look at some more of our resources similar to our mm to inches conversion calculator.
Use this calculator for converting angles in degrees to radians.
There is also a handy formula and step-by-step instructions to do this conversion.
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