1. What is Fraction to Degree Conversion?

The fraction to degree conversion is a mathematical operation that transforms a unitless fraction into angular degrees, typically used in trigonometric calculations and geometry.

2. How Does the Calculator Work?

The calculator uses the conversion formula:

Where:

• \( Fraction \) — Unitless fractional value
• \( \pi \) — Mathematical constant (≈3.14159)
• \( 180/\pi \) — Conversion factor from radians to degrees

Explanation: This formula effectively converts a fraction representing radians into degrees by applying the standard radian-to-degree conversion factor.

3. Practical Applications

Details: This conversion is particularly useful in trigonometry, physics, engineering, and computer graphics where angular measurements are needed.

4. Using the Calculator

Tips: Simply enter the fractional value you wish to convert to degrees. The calculator will automatically apply the conversion formula.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between radians and degrees?
A: Radians and degrees are two units for measuring angles. A full circle is 360° or 2π radians.

Q2: When should I use this conversion?
A: Use when you have a fractional value representing radians that needs to be expressed in degrees.

Q3: Can I convert degrees back to a fraction?
A: Yes, by using the inverse formula: Fraction = Degrees × π/180.

Q4: Is π approximated in this calculation?
A: Yes, the calculator uses PHP's built-in pi() function which provides sufficient precision.

Q5: What's the maximum value I can convert?
A: There's no practical limit, but extremely large values may lose precision.