Earth Mean Radius

R=6371008.8 mR_\oplus = 6371008.8\ \text{m}
Value6371008.8 m
StatusConventional / typical value
SourceIUGG mean radius R₁ of the WGS 84 ellipsoid
CategoriesAstronomicalearthgeodesy
R_earth in every length unit
femtometer6.3710088e+21 fm
picometer6.3710088e+18 pm
nanometer6.3710088e+15 nm
micrometer6,371,008,800,000 μm
millimeter6,371,008,800 mm
centimeter637,100,880 cm
decimeter63,710,088 dm
meter6,371,008.8 m
kilometer6,371.0088 km
inch250,827,120 in
foot20,902,260 ft
yard6,967,419.9 yd
mile3,958.7613 mi
nautical mile3,440.0695 nmi
astronomical unit0.000042587563 AU
light-year6.7341616e-10 ly
parsec2.0647033e-10 pc

Learning zone

Eratosthenes got here first, around 240 BC: knowing the Sun stood directly over a well in Syene at midsummer noon while casting a 7.2° shadow in Alexandria, he scaled the distance between the cities up by 360/7.2 and obtained a circumference within a few per cent of the truth. His method needed no instrument more exotic than a stick.

The modern mean radius is a convenience rather than a physical boundary: it is the IUGG arithmetic mean of the ellipsoid's three semi-axes, and the real solid surface departs from it by nearly 9 km at Everest and 11 km in the Mariana Trench. Use it for escape velocity, surface gravity and great-circle distances; use the equatorial or polar radius when the 21 km difference matters.