/convert/degrees-to-radians/ Convert degrees to radians instantly. Includes a reference table and formula. article degrees to radians Converter — 247QuickTools ,{ "@context": "https://schema.org", "@type": "SpeakableSpecification", "cssSelector": [".tool-intro", ".info-gain-section"] }
📐 Angle

degrees to radians Converter

Convert degrees to radians instantly. Includes a reference table and formula.

Quick answer: To convert degrees to radians, multiply by 0.0174533. For example, 1 degrees = 0.0174533 radians. Use the calculator below for any value.
degrees to radians
→
Common conversions
degrees radians
Formula:

How to convert degrees to radians

1

Enter your value

Type the number of degrees you want to convert into the left box. The result in radians appears instantly in the right box. You can also type into the right box to convert in the other direction.

2

Use the swap button

Click the ⇄ Swap button to reverse the conversion — radians to degrees. Your current value carries across so you don't have to re-enter anything.

3

About degrees and radians

degrees and radians are both angle measurements. Use this converter to switch between them instantly.

💡 Did you know?

1 full circle = 2π radians = 360°. The radian was chosen as the 'natural' angle unit because the arc length formula becomes simply s = rθ — no conversion factor needed. Radians are dimensionless (they're a ratio), which is why they disappear in trigonometric identities where degrees would need a conversion factor.

📊 Common conversions at a glance
degrees radians
15 0.2618
30 0.5236
45 0.7854
60 1.047
90 1.571
120 2.094
Reviewed for 2026. degrees ↔ radians conversion factor verified against published reference data. Built by a UK-based qualified primary teacher and FA Level 2 coach as part of 247QuickTools' free utility-tools project.