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We know that the formula for the surface area of the sphere is given by :
SA = 4r^2 * pi such that r is the radius.
Given that SA = 14,650,000 miles^2
We need to find the radius.
==> We will substitute into the equation.
==> 14,650,000 = 4r^2 * pi
Now we will divide by 4pi.
==> r^2 = 14,650,000/ 4pi = 1165809.9581
Now we will take the square root.
==> r= 1079.72 = 1080 miles ( approx.)
Then the radius of the moon to the nearest mile is 1080 miles.
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