Degree to Radian Converter
Convert between degrees, radians, gradians, turns, and more angle units. Essential for mathematics, trigonometry, and navigation.
How to Convert Degree to Radian
Converting between Degree and Radian is straightforward with our free online converter above. Simply enter the value you want to convert, select the units, and get instant, accurate results.
Quick Steps:
- Enter the value you want to convert in the "Degree" field
- Select "Degree" as your "From" unit (if not already selected)
- Select "Radian" as your "To" unit (if not already selected)
- The conversion result will appear instantly in the "Radian" field
- You can also convert in reverse by entering a value in the "Radian" field
Tip: Our converter works both ways - you can convert from Degree to Radian or from Radian to Degree instantly.
Common Degree to Radian Conversions
| Degree | Radian |
|---|---|
| 1 | 0.017453 |
| 5 | 0.087266 |
| 10 | 0.174533 |
| 25 | 0.436332 |
| 50 | 0.872665 |
| 100 | 1.745329 |
When to Use Degree vs Radian
Degree is commonly used in most countries worldwide as part of the metric system.
Radian is commonly used in most countries worldwide as part of the metric system.
Understanding when to use each unit helps ensure accurate communication and measurements in different contexts, whether you're traveling, cooking, working on projects, or conducting scientific research.
Frequently Asked Questions
How do I convert degrees to radians?
Multiply degrees by π/180 (approximately 0.017453). For example, 180° = π radians = 3.14159 radians. This is fundamental in trigonometry.
What's the difference between degrees and radians?
A full circle is 360 degrees or 2π radians. Radians are preferred in mathematics and physics because they simplify many formulas. 1 radian ≈ 57.3 degrees.
What is a gradian?
A gradian divides a circle into 400 parts instead of 360. 1 gradian = 0.9 degrees. It's used in some surveying and engineering applications.
How do I convert radians to degrees?
Multiply radians by 180/π (approximately 57.2958). For example, π radians = 180°, and 2π radians = 360° (full circle).
What is a milliradian used for?
A milliradian (mrad) is 1/1000 of a radian, commonly used in military and shooting for angular measurements. 1 mrad ≈ 0.0573 degrees.
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