Question

Q. The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas. (PLS DO NOT POST IRRELEVANT ANSWERS , THE BEST ANSWER WILL BE MARKED AS THE BRAINLIEST)

Answer 1

Answer:

Both the moon and earth are in the shape of spheres.

Surface area of a sphere of radius 'r' =4πr

2

Let d

1

be the diameter of the moon and d

2

and be the diameter of the earth.

Let r

1

be the radius of the moon and r

2

be the radius of the earth.

Given d

1

=

4

1

d

2

=>2r

1

=

4

1

×2r

2

=>r

1

=

4

1

×r

2

Now, ratio of their surface areas is:

S

1

:S

2

=4πr

1

2

:4πr

2

2

=r

1

2

:r

2

2

=1

2

:4

2

=1:16

Answer 2

Answer:

Earth's moon is the brightest object in our night sky. It appears quite large, but that is only because it is the closest celestial body. The moon is a bit more than one-fourth (27 percent) the size of Earth, a much smaller ratio (1:4) than any other planets and their moons. Earth's moon is the fifth largest moon in the solar system.

Hope it will help

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