Answer:
[tex]4.5 \times 10^{17}[/tex] square meter.
Step-by-step explanation:
Diameter of the moon = d = [tex]3.8 \times 10^{8}[/tex] 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:
[tex]S.A=4 \pi r^{2}[/tex]
r is the radius of the mood, which is equal to half of the diameter. So,
[tex]r =\frac{d}{2} = \frac{3.8 \times 10^{8}}{2} = 1.9 \times 10^{8}[/tex]
So, the surface area of moon will be:
[tex]S.A=4 \times 3.14 \times (1.9 \times 10^{8})^{2}\\\\ S.A = 12.56 \times 3.61 \times 10^{16}\\\\ S.A = 4.5 \times 10^{17}[/tex]
Thus, the approximate surface area of the moon is [tex]4.5 \times 10^{17}[/tex] square meter.
