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

1071202 miles

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 = (93480)/(\pi)`

Since we know that twice the radius is diameter

So,
`d_(PlanetA) = (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) = (1)/(8) * (93480)/(\pi)`

`d_(Moon) = (11685)/(\pi)`

`Distance_(moon)=288 * diameter_(moon)`

`Distance_(moon)=288 * (11685)/(\pi)`

`Distance_(moon)=(3365280)/(3.14)`

`Distance_(moon)\sim 1071202`

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