Convert any angle from radians to degrees with this Radians to Degrees Calculator. Enter your angle in the Radians field — optionally as a multiple of π — and get the Degrees result instantly. Supports decimal and fractional radian values using the formula degrees = radians × 180 / π.
Degrees
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Radians Used
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Degrees (Rounded)
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As π Multiple
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To convert radians to degrees, multiply the radian value by 180 and divide by π (approximately 3.14159). The formula is: degrees = radians × (180 / π). For example, 1 radian equals approximately 57.2958°.
1 radian is equal to 180/π degrees, which is approximately 57.2958°. This is because a full circle is 2π radians and also 360°, so the conversion factor is 180/π.
π radians equals exactly 180°. This is one of the most fundamental angle conversions in trigonometry — a straight line (half a full rotation) corresponds to π radians.
2π radians equals 360°, which is a full circle. This is the basis of the radian system: one complete revolution is 2π radians.
π/2 radians equals 90°. To calculate this, substitute into the formula: (π/2) × (180/π) = 90°. This corresponds to a right angle.
Degrees divide a full circle into 360 equal parts, while radians measure angles based on the radius of a circle. A full circle is 360° or 2π radians. Radians are the preferred unit in mathematics and physics because they simplify many formulas.
Yes. Select the 'Yes — input × π' option and enter the coefficient of π. For example, to convert π/3, select the π option and enter 0.3333. The calculator will multiply your input by π before converting.
The most common conversions are: π/6 = 30°, π/4 = 45°, π/3 = 60°, π/2 = 90°, π = 180°, 3π/2 = 270°, and 2π = 360°. These correspond to the standard angles used in trigonometry.