Radian To Degree Converter

Convert angles from radians to degrees with precision and visualize the unit circle position.

Input Parameters

Radians (rad)

Equivalent Angle

57.2958°

Degrees (°)

Standard angular measure

In terms of π0.318π

Quick Reference

π radians180°

π/2 radians90°

2π radians360°

Radians vs. Degrees

Degrees and radians are two units for measuring angles. A degree is 1/360th of a full rotation. A radian is the angle formed when the arc length is equal to the radius of the circle. One full rotation is 360° or 2π radians. Scientists and engineers prefer radians because they simplify many mathematical formulas, especially in calculus.

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Pro Tips

Key Points: π rad = 180°, π/2 rad = 90°, π/4 rad = 45°.
Conversion: To go back (Degrees to Radians), multiply by π / 180.
Estimation: 1 radian is approximately 57.3 degrees.

Fun Facts

"The degree system dates back to ancient Babylonians, who lived in a base-60 system."
"The word 'radian' first appeared in print in 1873, suggested by James Thomson (brother of Lord Kelvin)."

Formula: Degrees = Radians × (180 / π)

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