Fraction to Degrees Conversion:
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This calculator converts a fraction of a full rotation into degrees. A full rotation (1.0) equals 360 degrees, so any fraction between 0 and 1 can be converted to its equivalent angle measurement.
The calculator uses the simple formula:
Where:
Explanation: Since a full circle is 360 degrees, multiplying any fraction of that circle by 360 gives the equivalent angle in degrees.
Details: This conversion is useful in trigonometry, engineering, navigation, and any field dealing with circular measurements or periodic functions.
Tips: Enter any value between 0 and 1 (inclusive) representing the fraction of a full rotation. The calculator will output the equivalent angle in degrees.
Q1: Can I input values greater than 1 or less than 0?
A: While the calculator will compute values outside 0-1 range, standard angles are typically represented within 0°-360° (0-1 fraction).
Q2: How precise is this conversion?
A: The conversion is mathematically exact. Precision depends on your input value's precision.
Q3: What about radians?
A: For radians, multiply the fraction by 2π instead of 360° (1 full rotation = 2π radians).
Q4: Can this represent repeating decimals?
A: Yes, fractions like 1/3 (0.333...) will convert to 120° exactly, regardless of decimal representation.
Q5: Is this useful for time-to-degree conversions?
A: Yes, for clock angles - hours/12 or minutes/60 can be converted to degrees this way.