The surface area of the moon is 14.4699 × [tex]10^{16}[/tex] square miles.
Step-by-step explanation:
Step 1; To solve the question we need two variables. s which represents the surface area of the moon in square miles. The other variable is the radius of the moon in miles. This is given as 1.08 × [tex]10^{8}[/tex] miles in the question. So r = 1.08 × [tex]10^{8}[/tex] miles. We need to determine the value of this using the given equation.
Step 2; So we have to calculate the value of 'S' in the given equation.
S = 12.56 × (1.08 × [tex]10^{8}[/tex])²,
= 12.56 × [tex]10^{16}[/tex] × (1.08)²,
= 14.4699 × [tex]10^{16}[/tex] square miles.
So the surface area of the moon is 14.4699 × [tex]10^{16}[/tex] square miles.