Radians to Degrees Calculator

To convert radians to degrees, multiply by 180/π. This calculator accepts plain numbers such as 2.5 or expressions with π such as 5pi/6. When the π cancels it gives an exact number of degrees; otherwise it gives an accurate decimal and the angle in degrees, minutes and seconds.

Try:

How to use the radians to degrees calculator

  1. Type the angle in radians, such as 5pi/6 or 1.2.
  2. Press Calculate.
  3. Read the angle in degrees and in degrees, minutes and seconds.

Formula

deg=rad×180π\text{deg} = \text{rad} \times \frac{180}{\pi}

Worked example: 5π/6

  • Radians: 5pi/6

✓ Answer checked

150∘150^\circ
Degrees, minutes, seconds
150° 0′ 0.00″
(cos θ, sin θ) = (-0.866, 0.500) 11
An angle of 2.61799 radians is 150°.
Step-by-step working (2 steps)

  1. Multiply by 180/π π rad = 180°

    There are 180° in π radians.

    2.617993878×180π2.617993878 \times \frac{180}{\pi}

  2. Work it out

    The π cancels, leaving an exact number of degrees.

    =150∘= 150^\circ
Formulas used
deg=rad×180π\text{deg} = \text{rad} \times \frac{180}{\pi}
How this was checked
  • ✓ Converting back to radians gives the original angle.

Frequently asked questions

How do I convert π/4 to degrees?

Multiply by 180/π: π/4 × 180/π = 45°.

What is 1 radian in degrees?

About 57.2958°.

Can I type pi?

Yes. Type pi or π, for example 2pi/3.

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