How do you convert degrees to radians?

Multiply the degree measure by pi/180.

What is 90 degrees in radians?

90 degrees equals pi/2 radians.

Why do trig functions often use radians?

Radians connect angle measure directly to arc length, which makes many formulas and calculus results simpler.

Degrees to Radians Calculator

Convert degrees to radians with decimal and pi-based results, plus common-angle references for geometry, trigonometry, and unit-circle work.

Degrees and radians converter

Angle in degrees

Enter a decimal, a simple expression, or DMS notation.

Result

45° = π/4 rad

Need only degrees to radians?Need only radians to degrees?

Degrees (°)

Decimal radians

0.785398

Gradians (gon)

Turns

0.125

DMS (°′″)

45° 0′ 0″

Displayed direction: 45°, full turns: 0.

Angle on the unit circle

45° = π/4 rad

Standard angle table

Degrees	Radians (exact)	Radians (≈)	Gradians
0°	0	0	0
15°	π/12	0.2618	16.67
30°	π/6	0.5236	33.33
45°	π/4	0.7854	50
60°	π/3	1.0472	66.67
75°	5π/12	1.309	83.33
90°	π/2	1.5708	100
120°	2π/3	2.0944	133.33
135°	3π/4	2.3562	150
150°	5π/6	2.618	166.67
180°	π	3.1416	200
210°	7π/6	3.6652	233.33
225°	5π/4	3.927	250
240°	4π/3	4.1888	266.67
270°	3π/2	4.7124	300
300°	5π/3	5.236	333.33
315°	7π/4	5.4978	350
330°	11π/6	5.7596	366.67
360°	2π	6.2832	400

Convert degrees to radians

English search intent for degrees to radians is a direct angle conversion, often for trig homework, calculators in radian mode, and unit-circle answers.

radians = degrees \times \frac{π}{180}

Multiply degrees by pi over 180 to convert to radians.

Frequently Asked Questions

Sources and References

Calculations are based on the listed reference sources. Links open in a new tab.

Updated: June 2, 2026

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