The diameter
of the Earth is 1.3 × 10 km.
The diameter of the Moon is 3.5 × 10 km.
The diameter of the Sun is 400 times greater
than the diameter of the Moon.
How many times smaller is the diameter of
the Earth than the diameter of the Sun



Answer :

The diameter of earth is 0.0092 times smaller than diameter of sun.

  • Ratio, in math, is a time period this is used to examine  or greater numbers. It is used to signify how huge or small a amount is while as compared to another.

  • In a ratio, portions are as compared the use of division. Here the dividend is referred to as the `antecedent' and the divisor is referred to as the 'consequent'. For example, in a collection of 30 people, 17 of them opt for to stroll withinside the morning and thirteen of them favor to cycle.

  • We use the ratio formulation whilst evaluating the connection among  numbers or portions. The popular shape of representing a ratio of among  portions say 'a' and 'b' is a: b, that's examine as 'a is to b'.

Diameter of Earth = 1.3 * 10⁴ km

Diameter of Moon = 3.5 * 10³ km

Let the diameter of sun be x km

According to the question

Diameter of sun is 400 times the diameter of moon

x = 400 * 3.5 * 10³ km

= 14 * 10⁵ km

Diameter of earth / diameter of sun

=  1.3 * 10⁴ / 14 * 10⁵

= 0.0092

The diameter of earth is 0.0092 times smaller than diameter of sun.

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