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.
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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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