Question

The radius of Earth is about 6,371.0 kilometers and the radius of the Moon is 1,737.5 kilometers. What is approximate difference in the circumferences, in kilometers, of the Earth and Moon? Round your answer to the nearest tenth of a kilometer. * 2 points

Answer 1

291131.1 km is the approximate difference in the circumferences.

Explanation:

We are given the following in the question:

Radius of earth = 6,371.0 kilometers

Radius of Moon = 1,737.5 kilometers

Circumference of Circle =

`C = 2\pi r`

where r is the radius of the circle.

Circumference of Earth =

`C_(Earth) = 2\pi (6371.0) = 12742\pi`

Circumference of Moon =

`C_(Moon) = 2\pi (1737.5) = 3475\pi`

Approximate difference in the circumference =

`C_(Earth)-C_(Moon)\\=12742\pi - 3475\pi\\=29113.1\text{ km}`

Thus, 291131.1 km is the approximate difference in the circumferences.