Find the distance that the earth travels in one day in its path around the sun. Assume that a year has 365 days and that the path of the earth around the sun is a circle of radius 93 million miles. Round to one decimal place, which is the hundred thousands.

Respuesta :

Answer: 1,600,921.2 miles

Explanation:

Assuming the path of the Earth around the Sun is circular, we can calculate the circumference of that path [tex]C[/tex], which is equivalent to one complete revolution of the Earth around the Sun:

[tex]C=2 \pi r[/tex] (1)

If [tex]r=93(10)^{6} miles[/tex], this means that one complete revolution of the  Earth around the Sun is:

[tex]C=2 \pi (93(10)^{6} miles)=584336233.6 miles[/tex] (2) This is the distance the Earth travels in 365 days

Now we can make the following relation:

If:

[tex]365 days[/tex]----[tex]584336233.6 miles[/tex]

[tex]1 day[/tex]----[tex]? miles[/tex]

Then:

[tex]?miles=\frac{(1 day)(584336233.6 miles)}{365 days}[/tex]

[tex]?miles=1600921.188 miles \approx 1600921.2 miles[/tex] This is the distance the Earth travels in one day