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Angle Calculator

Convert angles between degrees, radians, and grads. Normalize angles, compute complementary and supplementary angles, and evaluate sin, cos, and tan.

Beginner

Angle Calculator

Calculate (Angle Conversion)

Enter an angle value
Select input angle unit

Right Triangle Solver

Choose which data you have
Only for modes with angle
Provide if known
Provide if known
Provide if known
Only for area + leg mode

What this tool does

A professional angle analysis companion that converts and analyzes angles across multiple units with precision and clarity.

Key capabilities

  • Multi‑unit conversion: Degrees (°), Radians (rad), Grads (g) — instantly cross‑convert.
  • Normalization: Map any angle to the standard range [0°, 360°) for consistent orientation.
  • Trigonometric evaluation: Reliable sin, cos, tan based on normalized radians.
  • Angle relations: Complement (90° − θ) and Supplement (180° − θ) with domain checks.
  • Precision controls: Up to 6 decimal places; safely handles undefined tan at odd 90° multiples.

Conversion formulas

  • rad = deg × π / 180
  • deg = rad × 180 / π
  • grad = deg / 0.9
  • deg = grad × 0.9

Pro tips

  • Normalization uses modulo 360 with wrap‑around for negatives.
  • Periodicity: sin, cos, tan repeat every 2π; tan is undefined at (2k+1)×90°.
  • Complement/Supplement are defined for 0° ≤ θ ≤ 180°; otherwise shown as N/A.

Where it shines

  • Engineering drawings and CAD rotations
  • Computer graphics and game development (object orientation, camera yaw/pitch/roll)
  • Navigation and mapping (bearings, headings, compass readings)
  • Circular statistics and signal processing (phase, polar transforms)