Convert Centesimal Minutes to Compass Points
Convert Centesimal Minutes (c′) to Compass Points (pt) instantly and accurately.
Conversion Formula
pt = c′ × 0.0008
About Centesimal Minutes
A centesimal minute (c′) is 1/100 of a gradian - exactly π/20,000 rad ≈ 1.5708 × 10⁻⁴ rad (= 0.9 sexagesimal arcminutes). Also designated cgon (centigon) in ISO/DIN standards. Total stations in the grad system display readings to 1 c′ or 0.1 c′; a right angle = 100 grad = 10,000 c′. A 1% slope ≈ 0.6366 grad ≈ 63.66 c′ - a simple calculation that makes the centesimal minute popular in road and railway alignment. 1 c′ = 0.9′ = 54″ = π/20,000 rad.
About Compass Points
A compass point equals 1/32 of a full circle - π/16 rad ≈ 0.19635 rad (= 11.25°). Traditional maritime compasses divide the horizon into 32 named points from North clockwise back to North, each further divided into quarter-points (2.8125°). This 32-point rose was the standard for European seafaring from the 14th to 19th centuries. Modern navigation uses three-digit decimal bearings (000°-359°), but compass roses persist in meteorology and nautical heritage. 1 compass point = 11.25° = 11°15′ = 200 NATO mils.
Quick Reference Table
| Centesimal Minutes (c′) | Compass Points (pt) |
|---|---|
| 1 c′ | 0.0008 pt |
| 2 c′ | 0.0016 pt |
| 5 c′ | 0.004 pt |
| 10 c′ | 0.008 pt |
| 25 c′ | 0.02 pt |
| 50 c′ | 0.04 pt |
| 100 c′ | 0.08 pt |