Question

Planet A has a circumference of 93,480 miles. Its moon has a diameter that is approximated to be 1/ 8 that of Planet A. Find the approximate distance of the moon from Planet A.

Answer 1

Answer:

1071202 miles

Step-by-step explanation:

Circumference of planet A = $2 \pi r$

We are given that Planet A has a circumference of 93,480 miles.

$2 \pi r = 93480$

$2r = \frac{93480}{\pi}$

Since we know that twice the radius is diameter

So, $d_{PlanetA} = \frac{93480}{\pi}$

Now we are given that Its moon has a diameter that is approximated to be 1/ 8 that of Planet A.

So, $d_{Moon} = \frac{1}{8} \times \frac{93480}{\pi}$

$d_{Moon} = \frac{11685}{\pi}$

$Distance_{moon}=288 \times diameter_{moon}$

$Distance_{moon}=288 \times \frac{11685}{\pi}$

$Distance_{moon}=\frac{3365280}{3.14}$

$Distance_{moon}\sim 1071202$

Hence  the approximate distance of the moon from Planet A is 1071202 miles