How does the number four uniquely feature in two circle equilibriums?

Answer 1

The number four uniquely features in two circle equilibriums firstly by producing a numerically equal circumference and area when the diameter is four; and secondly by producing a numerically equal area and diameter when the circumference is four, as follows :

When the DIAMETER of a circle measures 4 the CIRCUMFERENCE and AREA are both equal at:

12.566370614359172

When the CIRCUMFERENCE of a circle measures 4 the AREA and DIAMETER are both equal at:

1.2732395447351627

When the DIAMETER of a circle is greater than 4 the AREA is greater than the CIRCUMFERENCE.

When the DIAMETER of a circle is less than 4 the AREA is less than the CIRCUMFERENCE.

When the DIAMETER of a circle is 1 the CIRCUMFERENCE is Pi which equals:

3.141592653589793238462643383279502884197169399 ...an so on to infinity.

Multiplying the DIAMETER of a circle by Pi therefore determines its CIRCUMFERENCE.

SQUARING the RADIUS of a circle and then multiplying it by Pi determines its AREA.

If the DIAMETER of a circle is 4 then its RADIUS will be 2. When 2 is squared it becomes 4.

Because both the DIAMETER and SQUARED RADIUS are 4 multiplying them by Pi brings both the CIRCUMFERENCE and AREA of the circle into EQUILIBRIUM.

However, if the DIAMETER is increased TENFOLD the CIRCUMFERENCE also increases TENFOLD but the AREA increases ONE HUNDREDFOLD because the area always increases by the SQUARE OF THE MULTIPLIER (eg.Diameter x 100, Circumference x 100, Area x 10,000)

When the CIRCUMFERENCE is 4 dividing it by Pi determines the DIAMETER which is in EQUILIBRIUM with the AREA, so dividing the AREA by Pi determines the SQUARE OF THE RADIUS which would make a good book title or movie.

Anyway, you can play around with all this at the following link:

http://www.math.com/students/calculators/s...rcle-solver.htm

Revelation 7:1 "And after these things I saw four angels standing on the four corners of the earth, holding the four winds of the earth, that the wind should not blow on the earth, nor on the sea, nor on any tree."

In The Bible the number FOUR appears 330 times in 289 verses.