Angle Converter Calculator

Convert between Degrees, Radians, Gradians, and Turns. Essential for physics, surveying, and geometry with full formula transparency.

Complete User Guide

Angles can be measured in several different units. Use this tool to swap between them:

Step 1: Enter the "Angle Value" you want to convert.

Step 2: Select the "From" unit (e.g., Degrees).

Step 3: Select the "To" unit (e.g., Radians).

Step 4: Click "Convert."

Step 5: Review the results. The calculator will show: - The converted value. - The conversion formula applied. - The equivalent value in all other units (Gradians, Turns, etc.) for comparison.

The Mathematical Formula
1 radian = 180/π degrees ≈ 57.296°

The relationships between angle units are based on a full circle:

1. Degrees to Radians: Rad = Deg × (π / 180) 2. Radians to Degrees: Deg = Rad × (180 / π) 3. Gradians: A right angle is 100 gradians (a full circle is 400). 4. Turns: One full circle is 1 turn.

Key Benchmarks: - 90° = π/2 rad = 100 grad = 0.25 turns - 180° = π rad = 200 grad = 0.5 turns - 360° = 2π rad = 400 grad = 1 turn

About Angle Converter

The Angle Converter is a vital utility for surveyors, engineers, and physics students. While 'Degrees' are the standard in daily life, 'Radians' are the language of calculus and rotation in physics because they relate the angle directly to the radius of a circle. 'Gradians' are often used in surveying to make right-angle calculations simpler. By providing instant and precise conversions, this tool ensures that your geometric designs and navigational calculations are consistent regardless of the system being used.

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