Question

In a scale model of the solar system the key is 1.391 million km is equal to 1 meter, what is the circumference of the other planets?

Answer 1

Mercury 0.011020m

Venus 0.027336m

Earth 0.028810m

Mars 0.015344m

Jupiter 0.315790m

Saturn 0.272232m

Uranus 0.115449m

Neptune 0.111861m

Step-by-step explanation:

we have that 1.391 million km is equal to 1m then using scientific notation.

`1.391000000\,km=1.391* 10^(6)\,km` then
`1.391* 10^(-6)\,km =1\,m`

The circumference of Mercury is
`15329\,km` we can do the conversion with the next process:

`15329\,km((1m)/(1.391*10^6))=(15329)/(1.391* 10^6)m=11020.129*^(-6)m`

Without the scientific notation the answer for mercury is
`0.011020m`

Now we have to repeat the process for the other planets.

• Venus has a circumference of
  `38025km` then:

`38025\,km((1m)/(1.391*10^6))=(38025)/(1.391* 10^6)m=27336.449*^(-6)m`

Without the scientific notation the answer for Venus is
`0.027336m`

• Earth has a circumference of
  `40075km` then:

`40075\,km((1m)/(1.391*10^6))=(40075)/(1.391* 10^6)m=28810.208*^(-6)m`

Without the scientific notation the answer for Earth is
`0.028810m`

• Mars has a circumference of
  `21344km` then:

`21344\,km((1m)/(1.391*10^6))=(21344)/(1.391* 10^6)m=15344.357*^(-6)m`

Without the scientific notation the answer for Mars is
`0.015344m`

• Jupiter has a circumference of
  `439264km` then:

`439264\,km((1m)/(1.391*10^6))=(439264)/(1.391* 10^6)m=315790.079*^(-6)m`

Without the scientific notation the answer for Jupiter is
`0.315790m`

• Saturn has a circumference of
  `378675km` then:

`378675\,km((1m)/(1.391*10^6))=(378675)/(1.391* 10^6)m=272232.207*^(-6)m`

Without the scientific notation the answer for Saturn is
`0.272232m`

• Uranus has a circumference of
  `160590km` then:

`160590\,km((1m)/(1.391*10^6))=(160590)/(1.391* 10^6)m=115449.317*^(-6)m`

Without the scientific notation the answer for Uranus is
`0.115449m`

• Neptune has a circumference of
  `155600km` then:

`155600\,km((1m)/(1.391*10^6))=(155600)/(1.391* 10^6)m=111861.969*^(-6)m`

Without the scientific notation the answer for Neptune is
`0.111861m`