the diameter of the moon is 3.48x10^3 km. what is its surface area in m2?
To find the surface area of the moon, we need to use the formula for the surface area of a sphere. The formula for the surface area of a sphere is given by:
Surface Area = 4πr²
However, in this case, we are given the diameter of the moon, not the radius. The diameter is twice the length of the radius. So, we need to first convert the given diameter from kilometers to meters and then divide it by 2 to obtain the radius in meters.
Given that the diameter of the moon is 3.48x10^3 km, we need to convert this into meters. We know that 1 km is equal to 1000 meters. Therefore, the diameter in meters would be:
Diameter = 3.48x10^3 km * 1000 m/km = 3.48x10^6 m
Now, we can convert the diameter to radius by dividing it by 2:
Radius = Diameter/2 = 3.48x10^6 m / 2 = 1.74x10^6 m
Now that we have the radius, we can substitute it into the surface area formula:
Surface Area = 4πr² = 4π(1.74x10^6 m)² = 4π(3.018x10^12 m²) = 1.2072x10^13π m²
Therefore, the surface area of the moon is approximately 1.2072x10^13π m².
the s.a. of a sphere is ... 4 π r²
or ... π d²
km² = 1E6 m²