Convert Nanoradians to Quadrants
Convert Nanoradians (nrad) to Quadrants (quad) instantly and accurately.
Conversion Formula
quad = nrad × 6.366197724e-10
About Nanoradians
A nanoradian (nrad) is one billionth of a radian (10⁻⁹ rad), the smallest angle unit in regular scientific use. LIGO and Virgo gravitational-wave observatories maintain mirror tilts to sub-nanoradian stability - a 1 nrad tilt on a 4 km mirror shifts the reflected beam by 4 nm. Earth-tidal deformation deflects the local plumb line by roughly 50 nrad over a full tidal cycle, measurable with superconducting gravimeters and ring-laser gyroscopes. Synchrotron X-ray beamline mirrors are steered to single-digit nanoradians by piezo actuators. 1 nrad = 10⁻⁹ rad ≈ 0.206 µas.
About Quadrants
A quadrant equals 1/4 of a full circle - π/2 rad = 90°, the right angle. Perpendicularity underpins Euclidean geometry, the Pythagorean theorem, and Cartesian coordinate systems. In AC electrical engineering, voltage and current in purely reactive circuits are exactly 90° out of phase, defining reactive power in VAr. The four quadrants of the unit circle determine the sign of sine, cosine, and tangent. GPS orbital elements encode latitude in semicircles bounded by ±1 quadrant = ±90°. 1 quadrant = 90° = 100 grad = π/2 rad = 1,600 NATO mils.
Quick Reference Table
| Nanoradians (nrad) | Quadrants (quad) |
|---|---|
| 1 nrad | 6.366 × 10-10 quad |
| 2 nrad | 1.273 × 10-9 quad |
| 5 nrad | 3.183 × 10-9 quad |
| 10 nrad | 6.366 × 10-9 quad |
| 25 nrad | 1.592 × 10-8 quad |
| 50 nrad | 3.183 × 10-8 quad |
| 100 nrad | 6.366 × 10-8 quad |