Answer:
1071202 miles
Step-by-step explanation:
Circumference of planet A = [tex]2 \pi r[/tex]
We are given that Planet A has a circumference of 93,480 miles.
[tex]2 \pi r = 93480[/tex]
[tex]2r = \frac{93480}{\pi}[/tex]
Since we know that twice the radius is diameter
So, [tex]d_{PlanetA} = \frac{93480}{\pi}[/tex]
Now we are given that Its moon has a diameter that is approximated to be 1/ 8 that of Planet A.
So, [tex]d_{Moon} = \frac{1}{8} \times \frac{93480}{\pi}[/tex]
[tex]d_{Moon} = \frac{11685}{\pi}[/tex]
[tex]Distance_{moon}=288 \times diameter_{moon}[/tex]
[tex]Distance_{moon}=288 \times \frac{11685}{\pi}[/tex]
[tex]Distance_{moon}=\frac{3365280}{3.14}[/tex]
[tex]Distance_{moon}\sim 1071202[/tex]
Hence the approximate distance of the moon from Planet A is 1071202 miles
