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Degrees to Radians Converter

Convert degrees to radians online: 1° = π/180 radians. Essential for math and engineering calculations.

Free online · Instant results

Angle (degrees °)

Radians (rad)3.141593

Gradians (grad)200.0000

Turns0.5000

QuadrantQuadrant 3

Multiple of π1.0000π

Calculation steps

1Degrees → radians: 180.0000° × π / 180 = 3.141593 rad
2Degrees → gradians: 180.0000° × 10/9 = 200.0000 grad
3Degrees → turns: 180.0000° ÷ 360 = 0.5000 turns

Special angles reference

Degrees	Radians	π form	Note
0°	0.0000	0	Zero angle
30°	0.5236	0.1667π	sin = 1/2
45°	0.7854	0.2500π	Isosceles right triangle
60°	1.0472	0.3333π	Equilateral triangle angle
90°	1.5708	0.5000π	Right angle
180°	3.1416	1.0000π	Straight angle
270°	4.7124	1.5000π	Reflex boundary
360°	6.2832	2.0000π	Full turn

One radian is the angle where arc length equals radius (≈57.296°). Math and physics use radians because derivatives of trig functions are simplest in rad; gradians (400 per turn) are mainly used in surveying.

Frequently Asked Questions

What is 180 degrees in radians?▼

180° = π radians ≈ 3.14159 radians. 360° = 2π radians.

How do I use the Angle Converter?▼

Open the page and fill in the input fields — results update automatically. Degrees, radians and gradians.

Are the results accurate?▼

Yes. Standard formulas and conversion factors are used and verified.

Is it free? Do I need to sign up?▼

Completely free. No registration, login or download required.

Does it work on mobile?▼

Yes. The responsive design works on phones, tablets and desktops.

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This is a dedicated variant of the Angle Converter, pre-configured for this scenario with tailored FAQs.