Radians to Degrees Converter
Convert radians to degrees and degrees to radians, including multiples of π and DMS.
Degrees = radians × 180/π, and radians = degrees × π/180. π/4 rad = 45°, 1 rad ≈ 57.2958°, and 90° = π/2 ≈ 1.5708 rad.
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How to use it
- Choose radians to degrees or degrees to radians.
- Enter the angle; tick 'multiple of π' to enter values like 3π/4 as 0.75.
- Read the converted angle as a decimal, a fraction of π and DMS.
What you enter
- Angle in radians or degrees
What you get
- Converted angle
- Fraction of π
- Degrees-minutes-seconds
Formula
degrees = radians × 180/π | radians = degrees × π/180
Worked example
Input: 3π/4 rad
Result: 135°
0.75 × 180 = 135.
Questions
How do you convert radians to degrees?
Multiply by 180 and divide by π. 2 rad × 180/π ≈ 114.59°.
How do you convert degrees to radians?
Multiply by π and divide by 180. 60° × π/180 = π/3 ≈ 1.0472 rad.
How many degrees is 1 radian?
About 57.2958°, the angle where the arc length equals the radius.
Why do calculators give wrong trig answers?
They are often in the wrong angle mode. sin(30) is 0.5 in degree mode but −0.988 in radian mode.
Limitations
- π fractions are shown for simple denominators only.
References
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All free tools · By Dr. Zubair Khalid, DVM, MS, PhD.