Convert Degrees to Radians - Fast & Accurate Degrees ⇄ Radians Conversion Tool

Need a fast and accurate way to convert degrees to radians or vice versa? Our Degrees ⇄ Radians Converter gives instant and precise results. Just enter the value and get accurate conversions every time.

Why Users Love This Degrees ⇄ Radians Converter

• Exact in design: Uses the correct trigonometric formula for accurate results.
• Instant answers: Get results as you type or with a single click.
• Clear display: Shows exact and rounded values with adjustable decimals.
• Two-way switch: Instantly switch between degrees to radians and radians to degrees.
• Works anywhere: 100% mobile and desktop-friendly for classroom, lab, or home use.

How to Use Our Converter

1. Enter the value.
2. Choose the direction: Degrees to Radians or Radians to Degrees.
3. View instant results.
4. Copy, share, or save the result.

Degrees

The term degrees (°) represents an angle measurement. A full circle equals 360 degrees. Degrees are widely used in geometry, navigation, astronomy, engineering, and map design to measure angles, rotations, or directions.

Key Facts About Degrees

• Exact value: 360° = 2π radians
• Relationship to other units: 1° = π/180 radians
• Common abbreviation: °
• Notation tips: Always include the degree symbol (°) after the number.

Radians

The term radian (rad) measures angles based on the arc length of a circle. Radians are commonly used in mathematics, trigonometry, and physics, especially when dealing with sine, cosine, and other circular functions.

Key Facts About Radians

• Exact value: 1 radian = 180/π degrees
• Relationship to other units: 2π radians = 360 degrees
• Common abbreviation: rad
• Notation tips: Often written without a symbol in equations but understood as radians.

Degrees to Radians Conversion Formula

Formula:

Radians = Degrees × (π / 180)

Degrees to Radians Conversion Examples

Example 1: 30° to radians
Step 1: Formula = Radians = Degrees × (π / 180)
Step 2: Substitute = 30 × (π / 180)
Step 3: Multiply = π/6 radians

Example 2: 90° to radians
Step 1: Radians = Degrees × (π / 180)
Step 2: Substitute = 90 × (π / 180)
Step 3: Result = π/2 radians

Example 3: 180° to radians
Step 1: Radians = Degrees × (π / 180)
Step 2: Substitute = 180 × (π / 180)
Step 3: Result = π radians

Radians to Degrees Conversion Formula

Formula:

Degrees = Radians × (180 / π)

Radians to Degrees Conversion Examples

Example 1: π/6 radians to degrees
Step 1: Formula = Degrees = Radians × (180 / π)
Step 2: Substitute = (π/6) × (180 / π)
Step 3: Multiply = 30°

Example 2: π/2 radians to degrees
Step 1: Degrees = Radians × (180 / π)
Step 2: Substitute = (π/2) × (180 / π)
Step 3: Result = 90°

Example 3: π radians to degrees
Step 1: Degrees = Radians × (180 / π)
Step 2: Substitute = π × (180 / π)
Step 3: Result = 180°

Applications of Degrees and Radians Conversions

• Education: Used in trigonometry and geometry lessons.
• Engineering: Essential for calculating torque and angular motion.
• Astronomy: Helps measure planetary orbits and star positions.
• Computer Graphics: Used to rotate objects or create circular animations.

Quick Reference Table for Degrees ⇄ Radians Conversion

Use our Degrees ⇄ Radians Converter at Digital Calculator for fast, accurate, and reliable results in math, science, and engineering applications. Whether you’re a student, teacher, or professional, our tool helps simplify angle conversions instantly.