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Radians to Degrees Converter

Degrees57.29578°
In terms of π
0.31831π rad
Degrees
57.29578°
Gradians
63.662 grad
sin / cos / tan
0.841471 / 0.540302 / 1.557408

radians = degrees × π/180; degrees = radians × 180/π.

Convert an angle in radians to degrees. Enter a decimal such as 1.5708 — the result is also shown as a fraction of π.

How to use the Radians to Degrees Converter

  1. Enter the angle in radians.
  2. Keep “Radians → degrees” selected (or switch direction).
  3. Read the degrees and trigonometric values.

How it works

Degrees = radians × 180/π. Since π radians = 180°, 1 radian ≈ 57.2958°. To convert a multiple of π, replace π with 180°: π/6 = 30°, π/2 = 90°, 3π/2 = 270°. Calculators and programming languages often return angles in radians, so this conversion comes up whenever you need a human-friendly angle.

Radians to degrees

RadiansDegrees
π/6 (0.5236)30°
π/4 (0.7854)45°
π/3 (1.0472)60°
157.2958°
π/2 (1.5708)90°
π (3.1416)180°
2π (6.2832)360°

Frequently asked questions

How many degrees is 1 radian?

About 57.2958°.

What is π/3 in degrees?

60°.

How do I convert radians to degrees on a calculator?

Multiply by 180 and divide by π (3.14159…).

How many radians in a full circle?

2π, about 6.2832.

What is 2 radians in degrees?

About 114.59°.

Why do programming languages use radians?

Functions like Math.sin() in JavaScript and Python’s math.sin() take radians because the formulas behind them (Taylor series) are simplest in radians. Multiply degrees by π/180 before passing them in.

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