Question

How many astronomical units is Saturn from the Sun?

Answer 1

Hint:AU is the unit of measurement of distance. The distance between the objects in outer space is so large that the conventional systems of distance measurement become inconvenient, so the scientists formulated AU as astronomical units for distance calculation in space to reduce the complexity of calculations.

Complete step by step answer:
Astronomical Unit: For general reference, we can say that one astronomical unit (AU) represents the mean distance between the Earth and our Sun. An AU is approximately 93 million miles (150 million km). It’s approximately the distance covered by light in 8 minutes or we can that it is approximately equal to 8 light-minutes.
So, we can say that the distance of the sun from the earth is not constant it varies with time so take the average distance between the sun and earth as 1 AU.
Mathematically: 1 AU$ = 1.496 \times {10^8}$km
We know that the distance of Saturn from the sun is $14.27 \times {10^8}$km
Dividing we get Distance in AU $ = \dfrac{{14.27 \times {{10}^8}}}{{1.496 \times {{10}^8}}}$$ = 9.538$AU
Final Answer: The distance between the sun and Saturn is 9.538 AU which is equal to 1.49 billion km approx.

Note:
The orbit of Saturn around the sun is elliptical as an ellipse as a major and a minor axis so the distance between its periphery and the centre is not constant but it varies.
AU is the biggest unit for distance measurement being 1AU=150 million kilometres.