Convert Yard to Earth's Equatorial Radius
Convert yards to earth's equatorial radii instantly. 1 yard = 1.433647e-7 earth's equatorial radius — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Earth's Equatorial Radius to Yard converter for the reverse conversion.
Units explained
Yard
A yard is an Imperial and US customary unit of length equal to 3 feet or exactly 0.9144 meters. It is used for medium distances, particularly in athletics and fabric/textile measurement.
The yard's origin is contested but traditionally attributed to the length from the tip of King Henry I's nose to the end of his outstretched thumb. It was standardized in English law from the medieval period and definitively fixed at 0.9144 m exactly by the 1959 International Yard and Pound Agreement.
Yards are used in American football (10 yards for a first down), golf course distances, fabric and carpet sales in the US, and short-distance running events. The UK uses yards informally and on road signs for short distances.
Standardized in English law from the Middle Ages; fixed at 0.9144 m exactly by the 1959 International Yard and Pound Agreement.
Earth's Equatorial Radius
Earth's equatorial radius is the distance from the planet's center to its surface at the equator, defined as exactly 6,378,137 meters by the WGS84 geodetic reference system.
The WGS84 (World Geodetic System 1984) defines Earth's reference ellipsoid for use in GPS and global cartography. The 6,378,137 m equatorial value was determined through satellite and ground geodetic measurements consolidated in 1984.
WGS84's equatorial radius is the standard reference for GPS, satellite imagery, geographic information systems, and aviation navigation. It defines the 'a' parameter of Earth's reference ellipsoid in coordinate transformations.
WGS84 reference ellipsoid adopted in 1984 by the US Department of Defense; subsequently adopted globally for GPS and civilian geodesy.
Yard to Earth's Equatorial Radius conversion formula
The relationship between yards and earth's equatorial radii:
To convert yards to earth's equatorial radii, multiply the value in yards by 1.433647e-7. To reverse, multiply earth's equatorial radii by 6975215.4418197731.
How to use this converter
Type a value into the calculator. The result in earth's equatorial radii updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Earth's Equatorial Radius to Yard converter for the reverse direction.
Step-by-step: convert yards to earth's equatorial radii
- Write down the value in yards (yd).
- Multiply that value by the factor 1.433647e-7.
- The product is the equivalent value in earth's equatorial radii (R⊕,eq).
- To reverse, multiply the earth's equatorial radius value by 6975215.4418197731.
Worked examples
Example 1 — Convert 1 yd to R⊕,eq:
1 × 1.433647e-7 = 1.433647e-7 R⊕,eq
Example 2 — Convert 100 yd to R⊕,eq:
100 × 1.433647e-7 = 1.433647e-5 R⊕,eq
Real-world example — Adult height conversion
A 1.8-yard-tall person measures a value in earth's equatorial radii that converts the height to the unit favoured by American forms, schools, or driver's licences. This is daily routine for anyone living between metric and imperial systems.
1.8 yd × 1.433647e-7 = 2.580565e-7 R⊕,eq
Real-world example — Fabric purchase length
Two yards of fabric equals a value in earth's equatorial radii essential for tailors and textile buyers sourcing material from international suppliers that quote in different units.
2 yd × 1.433647e-7 = 2.867295e-7 R⊕,eq
Real-world example — Maritime depth conversion
A 10-yard sounding depth converts cleanly into earth's equatorial radii. Recreational divers and sailors translate between the two units whenever they read legacy charts against modern depth-sounder displays.
10 yd × 1.433647e-7 = 1.433647e-6 R⊕,eq
Yard to Earth's Equatorial Radius conversion table
Standard reference values for converting yards to earth's equatorial radii:
| Yard [yd] | Earth's Equatorial Radius [R⊕,eq] |
|---|---|
| 0.01 | 1.433647e-9 |
| 0.1 | 1.433647e-8 |
| 1 | 1.433647e-7 |
| 2 | 2.867295e-7 |
| 3 | 4.300942e-7 |
| 4 | 5.73459e-7 |
| 5 | 7.168237e-7 |
| 10 | 1.433647e-6 |
| 20 | 2.867295e-6 |
| 30 | 4.300942e-6 |
| 40 | 5.73459e-6 |
| 50 | 7.168237e-6 |
| 100 | 1.433647e-5 |
| 500 | 7.168237e-5 |
| 1000 | 0.0001433647 |
Frequently asked questions
How many earth's equatorial radii is 1 yard?
How do I convert yards to earth's equatorial radii?
How do I convert earth's equatorial radii back to yards?
How many earth's equatorial radii is 100 yards?
Popular length unit conversions
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Metric / SI (18 units)
Imperial / US Customary (26 units)
Nautical (1 units)
Astronomical (9 units)
Atomic / Physics (6 units)
Typographic (3 units)
Sources & references
Conversion factor (1 yd = 1.433647e-7 R⊕,eq) verified against the following authoritative sources:
- BIPM — The International System of Units (SI Brochure 9th ed.)
Official BIPM publication defining the seven SI base units (including the meter) and the rules for their use. The global authority on units of measurement.
- NIST — Guide to the SI
US National Institute of Standards and Technology reference covering the SI base and derived units with definitions and usage rules for US technical practice.
- NIST Special Publication 811 — Guide for the Use of the International System of Units
Detailed NIST guide covering exact conversion factors between SI and US customary units along with formatting and rounding conventions.
- NIST — Refinement of values for the yard and pound (Federal Register 1959)
The treaty (signed by US
- International Astronomical Union — System of Astronomical Constants
The IAU defines astronomical units including the AU (149597870700 m exactly) light-year and parsec used in astronomy and astrophysics.