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