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The moon has a radius of about 939 leagues long. What is the total surface area of the moon? Rounded to the nearest whole number. (Ex. 3244.55 rounds up to 3245.) *

User Maddoxej
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2 Answers

3 votes

Radius, r = 939 ft

Then:

Diameter, d = 1878 ft

Circumference, C = 5899.9110034416 ft

Area, A = 2770008.2161158 ft^2

AREA = 2770 if you're shortening.

User Kevin Hirsch
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4 votes

For this case we assume that the moon is spherical. For definition, the surface area of a sphere is given by:


S = 4 \pi*r ^ 2

Where:

A: It is the radius of the sphere

We have that the radius is 939 leagues.

by definition, 1 league is equivalent to 4.82803 kilometers.

ENtonces 939 leagues represent 4533.52 km.

Substituting:
S = 4 \pi * (4533.52) ^ 2\\S = 20552803.5904 * 4 * \pi\\S = 258,274,147.081

It has a surface area of 258,274,147 km

ANswer:

258,274.147 km

User Mironych
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