Question

the diameter of Earth's moon is on average 3.8 x 10^8m. Use the formula A=4π² to find the approximate surface area. (Use 3.14 for the value of π)

Answer 1

The answer is

`A = 4.53 * {10}^(17) \: {m}^(2)`

Explanation:

Since the Earth's moon is a sphere

Surface area of a sphere from the question is given by

A = 4πr²

where r is the radius

To find the radius using the diameter we use the formula

radius = diameter / 2

`radius \: = \frac{3.8 * {10}^(8) }{2}`

`radius = 1.9 * {10}^(8) \: m`

π = 3.14

Substitute these values into the above formula

That's

`A = 4 * 3.14 * ({1.9 * {10}^(8) })^(2)`

We have the final answer as

`A = 4.53 * {10}^(17) \: {m}^(2)`

Hope this helps you