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

Answer:

The answer is

$A = 4.53 \times {10}^{17} \: {m}^{2}$

Step-by-step 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

$radius \: = \frac{3.8 \times {10}^{8} }{2}$

$radius = 1.9 \times {10}^{8} \: m$

π = 3.14

Substitute these values into the above formula

That's

$A = 4 \times 3.14 \times ({1.9 \times {10}^{8} })^{2}$

We have the final answer as

$A = 4.53 \times {10}^{17} \: {m}^{2}$

Hope this helps you