1. What is Radians to Degrees Conversion?

The conversion between radians and degrees is fundamental in trigonometry, physics, and engineering. While radians are the natural unit for angular measurement in mathematics, degrees are more commonly used in practical applications.

2. How Does the Calculator Work?

The calculator uses the conversion formula:

Where:

• \( \theta_{rad} \) — Angle in radians
• \( \theta_{deg} \) — Angle in degrees
• \( \pi \) — Mathematical constant pi (≈3.14159)

Explanation: Since 180° equals π radians, multiplying radians by 180/π converts them to degrees.

3. Importance of Angle Conversion

Details: Accurate angle conversion is essential when working with trigonometric functions, rotational motion, and angular measurements across different fields of science and engineering.

4. Using the Calculator

Tips: Enter the angle value in radians. The calculator will automatically convert it to degrees. Common values include π/2 (90°), π (180°), and 2π (360°).

5. Frequently Asked Questions (FAQ)

Q1: Why do we need to convert between radians and degrees?
A: Different fields use different units - mathematics prefers radians while navigation and engineering often use degrees.

Q2: What's the exact value of 1 radian in degrees?
A: Approximately 57.2958° (180/π).

Q3: How do I convert degrees back to radians?
A: Multiply degrees by π/180.

Q4: When should I use radians vs degrees?
A: Use radians for calculus and advanced mathematics, degrees for practical measurements and navigation.

Q5: Are there other angle measurement systems?
A: Yes, gradians (400 in a full circle) are sometimes used in surveying.