Question

Jacklynn wondered how much of the moon covers if half of the moon is shaded. She learned in Science Class that the moon has radius of roughly 1,000 miles. How much area of the moon is seen if only half is clear to view?

Answer 1

6.3 × 10⁶ square miles

Explanation:

We are given,

The radius of the moon is approximately 1000 miles.

We know that the moon resembles a sphere and also,

Area of sphere =
`4\pi r^(2)`, where r is the radius.

Now, the area of the moon =
`4\pi 1000^(2)` = 1.26 × 10⁷ square miles

Since, only the half of the area is clear to view.

So, the area left to view =
`(1.26* 10^7)/(2)` = 6.3 × 10⁶ square miles.

Hence, the area of the moon in view is 6.3 × 10⁶ square miles.