What mathematical equation describes how to measure the distance from Earth to the moon using Earth's diameter as a unit of measure?

Answer 1

You don't need a mathematical equation. All you need are the numbers.

In round, approximate numbers:

-- Earth diameter = 12,750 km

-- Moon diameter = 3,475 km

If you want a 'ratio' to amaze your friends with, then you can use an actual

mathematical equation for that:

The ratio of the Earth's diameter to the Moon's diameter is

DE / DM = 3.669 (rounded)

-- The linear dimensions of the Earth are 3.669 times as large as those of the moon.

By simple geometry, then, you can say that . . .

-- the Earth's surface area is 13.462 times that of the moon,

-- Earth's volume is 49.39 times the Moon's volume.

(If you're in the league of those that are comfortable with mathematical equations

and like to toss them around, then you find that some consider the phrase "times

smaller" to be quite arbitrary, while to others, it has no meaning at all.)

Answer 2

The mathematical equation which describes how to measure the distance from Earth to the moon using Earth's diameter as a unit of measure is

d = Dcot(p/2)/2

Where d is the distance from Earth to the moon, D is the diameter of the Earth and p is the angle of parallax subtended at moon by the diameter of the Earth.

Answer 3

Use Newton's Orbit Equation GMe/w2=r3, where w = 2pi/T and r is the distance between the earth and the moon. Having found r, divide it by the earth's diameter.

Answer 4

I don’t know