Length · Unit Converter

Convert Parsec to Earth's Polar Radius

Convert parsecs to earth's polar radii instantly. 1 parsec = 4.854173e+9 earth's polar radius — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Earth's Polar Radius to Parsec converter for the reverse conversion.

Written by Sunith Babu L, Ph.D., Lead Engineer Reviewed by Girish V Kulkarni Ph.D.
Length category 2 min read Published Last reviewed Updated

Units explained

Astronomical

Parsec

What is a parsec?

A parsec (parallax-second) is a distance unit equal to 648,000/π astronomical units — approximately 3.086×10¹⁶ m (3.26 light years). It is the standard distance unit in professional astronomy.

Origin of the parsec

Defined as the distance at which one astronomical unit subtends an angle of one arcsecond. IAU Resolution B2 in 2015 made this an exact definition: 1 pc = (648,000/π) AU.

Where it is used

Parsecs are used in professional astronomy for stellar distances (Proxima Centauri ≈ 1.3 pc), galactic-scale distances (with prefixes kiloparsec and megaparsec), and parallax measurements. Standard since the early 20th century.

When and where it was developed

Concept introduced by Herbert Hall Turner in 1913; exact definition via the AU adopted by IAU Resolution B2 in 2015.

Astronomical

Earth's Polar Radius

What is a earth's polar radius?

Earth's polar radius is the distance from the planet's center to either pole, approximately 6,356,752 meters under the WGS84 geodetic reference system. The polar radius is about 21 km shorter than the equatorial radius due to Earth's oblate spheroid shape.

Origin of the earth's polar radius

Derived from WGS84's flattening parameter (f ≈ 1/298.257); the difference from the equatorial radius is the geometric signature of Earth's rotational oblateness.

Where it is used

Earth's polar radius is used in geodesy, satellite-orbit calculations, and global cartography. Together with the equatorial radius it defines Earth's reference ellipsoid in WGS84.

When and where it was developed

Derived from the WGS84 reference ellipsoid adopted in 1984; the value is computed from the equatorial radius minus the oblateness.

Parsec to Earth's Polar Radius conversion formula

The relationship between parsecs and earth's polar radii:

1 pc = 4.854173e+9 R⊕,p
1 R⊕,p = 2.060083e-10 pc

To convert parsecs to earth's polar radii, multiply the value in parsecs by 4.854173e+9. To reverse, multiply earth's polar radii by 2.060083e-10.

How to use this converter

Type a value into the calculator. The result in earth's polar 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 Polar Radius to Parsec converter for the reverse direction.

Step-by-step: convert parsecs to earth's polar radii

  1. Write down the value in parsecs (pc).
  2. Multiply that value by the factor 4.854173e+9.
  3. The product is the equivalent value in earth's polar radii (R⊕,p).
  4. To reverse, multiply the earth's polar radius value by 2.060083e-10.

Worked examples

Example 1 — Convert 1 pc to R⊕,p:
1 × 4.854173e+9 = 4.854173e+9 R⊕,p

Example 2 — Convert 100 pc to R⊕,p:
100 × 4.854173e+9 = 4.854173e+11 R⊕,p

Parsec to Earth's Polar Radius conversion table

Standard reference values for converting parsecs to earth's polar radii:

Parsec [pc]Earth's Polar Radius [R⊕,p]
0.014.854173e+7
0.14.854173e+8
14.854173e+9
29.708347e+9
31.456252e+10
41.941669e+10
52.427087e+10
104.854173e+10
209.708347e+10
301.456252e+11
401.941669e+11
502.427087e+11
1004.854173e+11
5002.427087e+12
10004.854173e+12

Frequently asked questions

How many earth's polar radii is 1 parsec?
1 parsec equals 4.854173e+9 earth's polar radius.
How do I convert parsecs to earth's polar radii?
Multiply the value in parsecs by 4.854173e+9 to get earth's polar radii.
How do I convert earth's polar radii back to parsecs?
Multiply the value in earth's polar radii by 2.060083e-10, or use the Earth's Polar Radius to Parsec converter.
How many earth's polar radii is 100 parsecs?
100 parsecs equals 4.854173e+11 earth's polar radii, because 100 × 4.854173e+9 = 4.854173e+11.

Convert Parsec to other length units

Show all Parsec conversions

Sources & references

Conversion factor (1 pc = 4.854173e+9 R⊕,p) verified against the following authoritative sources:

Results are provided for general reference. Verify critical measurements against an authoritative standard.