Quadrant to Sextant Converter
Conversion Formula
Factor
Formula
Unit Description
Quadrant (quad)
Definition
A quadrant is a unit of angular measurement equal to 1/4 of a full rotation, or 90 degrees. It represents one of the four equal sections created when a circle is divided by perpendicular diameters.
History
The quadrant concept dates back to ancient geometry and astronomy, where circles were naturally divided into four equal parts. The term comes from the Latin 'quadrans' meaning 'fourth part'. Quadrants were fundamental in early navigation instruments and astronomical observations.
Current Use
Quadrants are used in coordinate geometry for describing the four sections of the Cartesian plane, in navigation for general directional references, and in some engineering applications. They're also used in describing rotational positions in mechanical systems and in some educational contexts for teaching angle concepts.
Sextant (sext)
Definition
A sextant is a unit of angular measurement equal to 1/6 of a full rotation, or 60 degrees. It represents one of six equal sections when a circle is divided into six parts.
History
The sextant as an angular unit is related to the navigational instrument of the same name, developed in the 18th century. The division of circles into six parts (hexagonal division) has ancient roots in geometry, as 60 degrees represents the angle in an equilateral triangle.
Current Use
Sextants as angular units are rarely used in modern applications, though the 60-degree angle remains important in crystallography, molecular geometry, and some engineering applications. The term is more commonly associated with the navigational instrument rather than the angular unit itself.
Conversion Table
Quadrant(quad) | Sextant(sext) |
---|---|
1 | 1.5 |
2 | 3 |
3 | 4.5 |
4 | 6 |
5 | 7.5 |
6 | 9 |
7 | 10.5 |
8 | 12 |
9 | 13.5 |
10 | 15 |
Conversion Examples
Convert 1 Quadrant to Sextant
- Conversion Factor: 1 quad = 1.5 sext
- Conversion Formula: sext = quad × 1.5
- Calculation: 1 quad × 1.5 = 1.5 sext
Convert 10 Quadrant to Sextant
- Conversion Factor: 1 quad = 1.5 sext
- Conversion Formula: sext = quad × 1.5
- Calculation: 10 quad × 1.5 = 15 sext
Convert 100 Quadrant to Sextant
- Conversion Factor: 1 quad = 1.5 sext
- Conversion Formula: sext = quad × 1.5
- Calculation: 100 quad × 1.5 = 150 sext
Convert 1,000 Quadrant to Sextant
- Conversion Factor: 1 quad = 1.5 sext
- Conversion Formula: sext = quad × 1.5
- Calculation: 1,000 quad × 1.5 = 1,500 sext