# The princip

Given,

Diameter of Earth’s orbit, d = 3 × 1011 m

Radius of earth’s orbit, r = d/2

r = (3×1011m)/2 = 1.5×1011 m

Parallax angle, θ = 1”

θ = 1’/60

θ = 1°/(60×60)

We know,

θ = r/x

x = r/θ

x = 3.09 × 1016 m

Hence, 1 parsec = 3.09 × 1016 m

NOTE: The parsec is a unit of length used to measure large distances to astronomical objects outside the Solar System. Parallax is a difference in the apparent position of an object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines of sight.

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