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Why Use the Angle Converter
- All major units — degrees, radians, gradians, turns, arcminutes, arcseconds
- Handles negative angles and angles over 360°
- Exact fractions — shows π/4, π/2, etc. for common radian values
- Instant results — no formula memorization needed
- Works offline — all conversion is client-side
Whether you are writing graphics code, doing surveying calculations, or working with geographic coordinates, the Angle Converter at TechConverter.me gives you accurate conversions across all angular unit systems instantly.
Examples
Example 1: Common Angle Conversions
Degrees → Radians (formula: radians = degrees × π/180):
0° = 0 rad
30° = π/6 ≈ 0.5236 rad
45° = π/4 ≈ 0.7854 rad
60° = π/3 ≈ 1.0472 rad
90° = π/2 ≈ 1.5708 rad
120° = 2π/3 ≈ 2.0944 rad
180° = π ≈ 3.1416 rad
270° = 3π/2 ≈ 4.7124 rad
360° = 2π ≈ 6.2832 radExample 2: Programming — Trigonometric Functions
Most programming languages use radians for trig functions. A developer specifies a 45° rotation but needs radians for the math library:
JavaScript:
const degrees = 45;
const radians = degrees * (Math.PI / 180); // 0.7854
const x = Math.cos(radians); // 0.7071
const y = Math.sin(radians); // 0.7071
Python:
import math
degrees = 45
radians = math.radians(45) # 0.7854
x = math.cos(radians) # 0.7071
y = math.sin(radians) # 0.7071The converter lets you quickly verify: 45° = 0.7854 rad before writing the code.
Example 3: Gradians (Surveying)
Degrees → Gradians (formula: gradians = degrees × 10/9):
0° = 0 grad
90° = 100 grad (right angle = exactly 100 grad)
180° = 200 grad
270° = 300 grad
360° = 400 gradGradians are used in European surveying. A right angle being exactly 100 gradians makes calculations convenient in that context.