Angle Converter
Convert between degrees, radians, gradians and more
Quick Converter
All Conversions
Conversion Reference
1 Degree (°) equals:
1 Radian (rad) equals:
1 Gradian (grad) equals:
Common Angle Values:
When to Use Angle Converter
Mathematics
Convert angles for trigonometry, calculus, and geometry problems requiring different unit systems
Physics & Engineering
Convert angular measurements for mechanical engineering, physics calculations, and scientific research
Programming
Convert angles for graphics programming, game development, and animation where radians are commonly used
Navigation & Surveying
Convert bearing angles and coordinates for GPS systems, mapping, and land surveying applications
Astronomy
Convert celestial coordinates and angular distances using arcminutes and arcseconds for precision
CAD & Design
Convert angles for computer-aided design, architectural drawings, and technical illustrations
Frequently Asked Questions
What is an angle converter?
An angle converter is a tool that converts angle measurements between different units including degrees (deg), radians (rad), gradians (grad), arcminutes (arcmin), and arcseconds (arcsec). Our online converter provides instant, accurate conversions with full precision for mathematical, engineering, and scientific applications.
How do I convert degrees to radians?
To convert degrees to radians: multiply the degree value by π/180 (approximately 0.0174533). For example, 90 degrees = 90 × π/180 = 1.5708 radians. Our converter does this automatically - just enter the degree value, select 'Degrees' as input unit and 'Radians' as output unit, and get instant results.
Is this angle converter free?
Yes, our angle converter is completely free to use with no registration required. You can convert unlimited angle values between all supported units without any cost. There are no ads, hidden fees, or usage limits.
What angle units are supported?
Our converter supports five angle units: Degrees (deg) - the most common unit where a full circle is 360°, Radians (rad) - used in calculus where a full circle is 2π, Gradians (grad) - where a full circle is 400 grad, Arcminutes (arcmin) - 1/60 of a degree, and Arcseconds (arcsec) - 1/60 of an arcminute or 1/3600 of a degree.
What is the difference between degrees and radians?
Degrees and radians are two ways to measure angles. Degrees divide a circle into 360 equal parts, making them intuitive for everyday use. Radians are based on the radius of a circle - one radian is the angle where the arc length equals the radius. A full circle is 360° or 2π radians (approximately 6.28319 rad). Radians are preferred in higher mathematics and physics because they simplify many formulas.
How accurate are the conversions?
Our angle converter provides high-precision conversions using accurate mathematical formulas. Results are displayed with up to 10 decimal places to ensure accuracy for scientific and engineering calculations. The converter uses JavaScript's built-in Math constants (like Math.PI) for maximum precision.
Can I see all conversions at once?
Yes! Our tool shows conversion results for all five angle units simultaneously. Enter a value in any unit, and instantly see the equivalent values in degrees, radians, gradians, arcminutes, and arcseconds all at once. This makes it easy to compare and understand relationships between different angle units.
What are gradians used for?
Gradians (also called gons or grades) divide a circle into 400 equal parts, making a right angle exactly 100 gradians. This decimal-based system was designed to simplify angle calculations. Gradians are commonly used in surveying, civil engineering, and some European countries. The system makes percentage calculations easier since 1 gradian equals 0.25% of a full circle.
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