Arctan2 Calculator
Calculate the angle between the positive x-axis and a point (x, y). Essential for programming and robotics as it correctly determines the angle in all four quadrants.
About Arctan2 Calculator
Use the Arctan2 (atan2) Calculator to find the angle between the positive x‑axis and the vector to a point (x, y). Unlike ordinary arctan(y/x), atan2(y, x) correctly resolves all four quadrants and axis cases, which is vital in programming, robotics, navigation, and game development.
Why atan2?
- Quadrant-aware: uses signs of x and y to return angles in (−π, π].
- Robust on axes: handles x = 0 or y = 0 without division by zero.
- Clear outputs: view the angle in degrees or radians with adjustable precision.
- Visual intuition: see your point and direction on a coordinate plane.
- Great for code: matches the standard math library function used across languages.
High-Precision Advantage
High precision: This arctan2 calculator supports true high-precision output, letting you choose from 1–1000 decimal places. Most calculators and built‑in atan2 functions are limited to ~15–16 digits; ours uses arbitrary‑precision arithmetic to preserve significantly more detail.
- Arbitrary precision engine: Powered by mpmath with user‑controlled precision.
- Reliable near axes: Extra precision reduces rounding artifacts when x ≈ 0 or y ≈ 0.
- Better for robotics/navigation: Fewer angle jitter issues in quadrant boundaries and small‑magnitude vectors.
Angle Convention
- Angle is measured counterclockwise from the positive x‑axis.
- atan2(y, x) returns an angle in (−π, π]. We also show a normalized degree value in [0°, 360°).
- Special cases: (x, y) = (0, 0) has no defined direction.
Reference this content, page, or tool as:
"Arctan2 Calculator" at https://MiniWebtool.com/arctan2-calculator/ from MiniWebtool, https://MiniWebtool.com/
by miniwebtool team. Updated: Nov 12, 2025
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