Answer:
The Surface area of the moon is [tex]4.53 \times 10^{17}[/tex]
Step-by-step explanation:
Given:
Diameter of the moon = 3.8 x 10 to the 8th
To Find :
The surface area of the moon = ?
Solution:
The moon is in the shape of of the sphere .
So the surface area of the moon = surface area of the sphere
The surface area of the sphere = [tex]4\pi r^2[/tex]
Where r is the radius of the sphere
Radius , r = [tex]\frac{Diameter}{2}[/tex]
r = [tex]\frac{3.9 \times 10^8}{2}[/tex]
r = [tex]1.9 \times 10^8[/tex]
Now the surface area of the moon with radius r = [tex]1.9 \times 10^8[/tex] is
=> [tex]4 \pi \times (1.9 \times 10^8)^2[/tex]
=>[tex]4 \times 3.14 \times (1.9 \times 10^8)^2[/tex]
=>[tex]12.56 \times 3.61 \times 10^{16}[/tex]
=>[tex]45.34 \times 10^{16}[/tex]
=>[tex]4.53 \times 10^{17}[/tex]
