Radians (rad) to Degrees (°) Rotation Converter

To convert rotation, enter the value in the input field, select the original unit (degrees, radians, gradians, revolutions, etc.), and choose the target unit. Click the Convert Rotation button to see instant, precise results for mathematics, engineering, physics, computer graphics, and navigation applications.

The Rotation Converter supports comprehensive angular units including degrees (°), radians (rad), gradians (gon or grad), revolutions (rev), turns, arc minutes, arc seconds, and milliradians (mrad or mils), covering all common rotation and angle measurement needs across scientific, engineering, and navigation domains.

Rotation conversion is crucial in engineering, mathematics, physics, computer graphics, robotics, navigation, astronomy, and CAD design. It ensures accurate measurements, proper angular calculations, compatibility across different systems, enables international collaboration, and allows professionals to work with their preferred angular unit system.

Yes, the Rotation Converter seamlessly converts between smaller angular units (like arc seconds or degrees) and larger units (like revolutions or radians), providing accurate and reliable results. For example, convert degrees to revolutions for motor speeds or radians to degrees for trigonometry.

The Rotation Converter uses mathematically precise conversion factors (like π for radian conversions) ensuring maximum accuracy. All calculations maintain high precision suitable for professional engineering, scientific research, navigation systems, and computer graphics applications requiring exact angular measurements.

Yes, the Rotation Converter handles an extensive range from micro-rotations in arc seconds (1/3600 of a degree) to thousands of revolutions, ensuring flexibility for applications from precision astronomy and surveying to high-speed motor rotation and multi-turn potentiometers.

Multiply degrees by π/180 to get radians, or use our converter. One full circle is 360° or 2π radians. Radians are standard in mathematics, physics, and programming (especially trigonometric functions in most programming languages), while degrees are more intuitive for everyday angle descriptions.

Gradians (grads or gons) divide a full circle into 400 units (100 per quadrant). One gradian is 0.9 degrees. They're used in surveying, civil engineering, and some European countries. Gradians simplify right-angle calculations (100 grads = 90°) making them practical for construction and land surveying.

Radians are the natural unit for mathematics because they simplify calculus, trigonometric derivatives, and mathematical formulas. In programming, sin(), cos(), and tan() functions expect radians by default. Convert degrees to radians before using trigonometric functions in code or advanced calculations.

RPM (revolutions per minute) measures rotational speed. Convert to radians per second (angular velocity) by multiplying RPM by 2π/60. This conversion is essential for physics problems, motor specifications, centrifuge calculations, and relating rotational speed to linear velocity.

Arc minutes (arcmin, ') and arc seconds (arcsec, ") subdivide degrees: 1° = 60 arcmin = 3600 arcsec. They're used in astronomy, navigation, surveying, and optics for precise angular measurements. For example, celestial coordinates use degrees, arc minutes, and arc seconds for exact stellar positions.

Graphics programming uses degrees for user interfaces (easy to understand) but radians for calculations (required by math functions). Convert between units when rotating objects, calculating angles, implementing animations, or processing user input. 3D graphics also uses quaternions for complex rotations.

Linear velocity (m/s) = angular velocity (rad/s) × radius. Convert rotation units to radians per second, multiply by radius to get linear speed. This helps calculate wheel speeds, satellite velocities, centrifuge forces, and any scenario where rotation creates linear motion.