1. What is Radian to Degree Conversion?

Radians and degrees are two units for measuring angles. While degrees are more common in everyday applications, radians are often used in higher mathematics and physics. Converting between these units is essential in many scientific and engineering calculations.

2. How Does the Calculator Work?

The calculator uses the conversion formula:

Where:

• \( \pi \) — Mathematical constant Pi (≈3.14159)
• 180 — Number of degrees in a half-circle

Explanation: Since a full circle is 360° or 2π radians, the conversion factor between radians and degrees is 180/π.

3. Importance of Angle Conversion

Details: Accurate angle conversion is crucial in trigonometry, physics, engineering, and computer graphics. Different fields use different units, and being able to convert between them is essential for calculations and data interpretation.

4. Using the Calculator

Tips: Enter the angle value in radians. The calculator will automatically compute the equivalent value in degrees. You can enter positive or negative values, as well as decimal values.

5. Frequently Asked Questions (FAQ)

Q1: Why are radians used instead of degrees?
A: Radians are more natural in mathematics because they relate the angle to the arc length and radius of a circle, simplifying many formulas in calculus and physics.

Q2: What is the exact value of π in the conversion?
A: The calculator uses PHP's built-in pi() function which provides π to about 14 decimal places (3.1415926535898).

Q3: Can I convert degrees to radians with this?
A: This calculator specifically converts radians to degrees. The reverse conversion would use the formula: radians = degrees × (π/180).

Q4: What's the conversion for common angles?
A: Some common conversions: π/2 rad = 90°, π rad = 180°, 2π rad = 360°, π/4 rad = 45°, π/6 rad = 30°.

Q5: How precise is the conversion?
A: The calculator shows results rounded to 4 decimal places, but internally uses higher precision for the calculation.