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Radians to Degrees Converter - Fast & Simple

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Radians to Degrees Conversion Table

Radians (rad) Degrees (°)

Simplify Your Angle Conversions

Convert radians to degrees or vice versa effortlessly with this lightweight tool—perfect for math, physics, engineering, and more!

Definition

A radian (rad) is a unit of angular measure where the arc length equals the radius, about 57.2958°. A degree (°) is 1/360 of a circle, equal to π/180 radians.

History/Origin

Radians were formalized in the 18th century by mathematicians like Roger Cotes. Degrees originated in ancient Babylon, based on a 360-day year.

Current Use

Radians are standard in mathematics, physics, and engineering for calculus and trigonometry. Degrees are common in everyday use, navigation, and education.

Frequently Asked Questions

How do I convert radians to degrees?

Multiply the angle in radians by 180/π (approx. 57.2958). For example, 1 rad × 57.2958 = 57.2958°.

Is this converter accurate?

Yes, it uses the precise conversion factor of 1 rad = 57.295779513° (180/π), with results to 4 decimal places.

Why use radians instead of degrees?

Radians simplify calculations in calculus and physics, as they align with arc length and trigonometric functions.