Degrees to Radians Converter

Convert any angle in degrees to radians. radians = degrees × π/180.

Inputs

Result

Loading calculator…
—

General calculation reads

Amazon affiliate
How Not to Be Wrong
Jordan Ellenberg - math thinking
Shop on Amazon
The Joy of X
Steven Strogatz - accessible math
Shop on Amazon
Scientific calculator (Casio fx-991EX)
Shop on Amazon

As an Amazon Associate we may earn from qualifying purchases. This does not add cost for you.

How to use this calculator

  • Enter angle in degrees.
  • Read the equivalent in radians (and as a multiple of π).

About this calculator

Degrees and radians are two ways to measure angles. 180° = π radians. To convert degrees to radians, multiply by π/180. Common values: 30° = π/6, 45° = π/4, 60° = π/3, 90° = π/2, 180° = π, 360° = 2π.

Frequently asked

Why use radians?+
In calculus, derivatives of trig functions are simpler in radians: d/dx sin(x) = cos(x) only when x is in radians. Engineering frequently uses radians too.
How is 180° = π?+
A radian is the angle that subtends an arc equal to the radius. The full circle has circumference 2πr, so 360° corresponds to 2π radians, and 180° to π.
Are degrees just an arbitrary unit?+
Historically, yes — Babylonians used 360 because of their base-60 number system and the rough length of a year. Radians are more "natural" mathematically.
Common conversions?+
30°→π/6, 45°→π/4, 60°→π/3, 90°→π/2, 120°→2π/3, 135°→3π/4, 150°→5π/6, 180°→π.
Can I do partial-degree input?+
Yes — the calculator handles any decimal degree value.

Related calculators

Radians to Degrees Converter
Convert any angle in radians to degrees. degrees = radians × 180/π.
Sine Calculator
Compute sin(x) for any angle in degrees or radians.
Cosine Calculator
Compute cos(x) for any angle.
Tangent Calculator
tan(x) = sin(x) / cos(x). Undefined where cos(x) = 0 (at 90°, 270°, …).
Unit Circle Calculator
Angle θ → (cos θ, sin θ) coordinates on the unit circle. Reference angle + quadrant.
Arcsine Calculator
sin⁻¹(x) — find the angle whose sine is x. Domain [-1, 1], range [−90°, 90°].

More tools you might like

Hand-picked tools that pair well with this one — same audience, same intent.

Radians to Degrees Converter
Calc

Convert any angle in radians to degrees. degrees = radians × 180/π.

Sine Calculator
Calc

Compute sin(x) for any angle in degrees or radians.

Cosine Calculator
Calc

Compute cos(x) for any angle.

Arcsine Calculator
Calc

sin⁻¹(x) — find the angle whose sine is x. Domain [-1, 1], range [−90°, 90°].

Unit Circle Calculator
Calc

Angle θ → (cos θ, sin θ) coordinates on the unit circle. Reference angle + quadrant.

Currency Converter
Finance

Convert between 30 major world currencies using a snapshotted static rate table — clearly marked, not live.