Question

The diameter of Earth’s moon is on average 3.8x10 8 m. Use the formula A =4 m2 to find the approximate surface area (Use 3.14 for the value of m

Answer 1

`4.5 * 10^(17)` square meter.

Explanation:

Diameter of the moon = d =
`3.8 * 10^(8)` m

The moon is approximately spherical in shapes, so we can use the formula of surface area of a sphere to approximate the surface area of the moon.The formula for surface area of a sphere is:

`S.A=4 \pi r^(2)`

r is the radius of the mood, which is equal to half of the diameter. So,

`r =(d)/(2) =  (3.8 * 10^(8))/(2) = 1.9 * 10^(8)`

So, the surface area of moon will be:

`S.A=4 * 3.14 * (1.9 * 10^(8))^(2)\\\\ S.A = 12.56 * 3.61 * 10^(16)\\\\ S.A = 4.5 * 10^(17)`

Thus, the approximate surface area of the moon is
`4.5 * 10^(17)` square meter.