# If 1 AU is the average distance from the earth to the sun (92.9x10^6 miles), how do you convert this to parsecs?

1 parsec=3.26 light years.

#### Explanation:

light year is the distance light travels in one year
186282 x 60x 60x24 x 365.242. in miles.
Speed of light=186282 miles per second.
1 AU=92.9x 10 ^6.
if you calculate this will come to 0.000004848136 parsec.

May 12, 2016

$1.92 X {10}^{13}$ miles = 19.2 trillion miles, nearly.

#### Explanation:

1 parsec = 206264.81.AU = 206264.81 X 92955807.27 miles = $1.91735119 X {10}^{13}$ miles = $1.917 X {10}^{13}$ miles, nearly.

For the conversion $p a r \sec \to A U$, the factor is $3600 X \left(\frac{180}{\pi}\right)$ and this is also the factor for $r a \mathrm{di} a n \to \sec$ conversion..

Note that (1 parsec X 1'' exprressed in radian) = 1 AU.
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