actually the circumference of the big circle.

Let diameter of Circle 1 be A

Then diameter of Circle 2 is B

Diameter of circle 3: C

Big circle is A+B+C

Circumference of Circle 1 be π(A)

Circumference of Circle 2 is π(B)

Circumference of circle 3: π(C)

Big circle circumference is π( A+B+C)

= π(A) + π(B)+π(C) [simple algebric ]

Note that the sum of circumference of Circle 1 , Circle 2, Circle 3

= π(A) + π(B)+π(C)

(Obviously,) sum of circumference of Circle 1 , Circle 2, Circle 3 

= Circumference of BIG CIRCLE

The circumference of the small circles add up to the circumference of the big circle.

I think that the sides of the smaller circle can be moved such that they can fit the circumference of the larger circle

Edit: Yes, thanks to the formula

the circumference of the circles are touching each other, the

sum of the circumferences of the small circles and the 

circumference of the big circles will be equal.

That's so cool!

Would this pattern continue to an infinite number?

Okay i searched online

triangle, except if you really mess up with the triangle

the big circle.

the circumference of the biggest circle.

of the small circles is the

same as the circumference

of the big circle

But if the small circles overlap, this doesn't happen.

the small circles are equivalent to the

diameter of the big circle, the two values will be

equal, since the formula for the

circumference of a circle is 2 x pi x radius

the big circle...

( diameter of small circle 1+diameter of small circle 2)x π= Diameter of big circle x π

Yes, my post is lame. I don't have any other thing to say

 the circumfernece of the big cicle.

The formula for finding the circuference is: pi times diameter

since the sum of the all the small circle's diameter is equals to the

diameter of the big cicle's diameter, and the pi is always the same,

this prove that the sum of all the small cicle's circumference=

 the circumfernece of the big cicle. PROVE IT! Yeah.

Because of the diameter. The diameter sum of the small circles = the diameter of the large circle.

pi times diameter is circumference.

Small circles have same diameter sum as diameter of large circle, so diameter is the same.

It's decimal places are not rational at all!

actually be expanded to

become the circumference of

the biggest circle.

Didn't anybody think of something simpler?

diameter of the smaller circles along the diameter is twice the diameter, 

as their diameters add up to the big circle's diameter. The 

diameter is half of the circumference, so we would get the same

result.

(The multiplication rule: if a+b+c = x

then (a+b+c)*y = x*y

Is it something about pi?

There is a theory call the Intersecting chord theorum

NOTE: nothing to do with Pi

I think.

There is also a thery call Tangent theory,

Whereby a line that touches a point of the circle once and only once.

Though I think it is impossible, because...

1) 3D would come back to the point especially when in a concaved 3D shape.

Though i think there is a name to it

I think.

2) In a super pixelated figure, it is either it cannot be hand-drawn, or that the line would touch to points of the (pixelated) circle.

I think

Archimedes of Syracuse (287-212 B.C.). 

Archimedes was so engrossed in his work that he did not notice that Roman soldiers had taken the 

Greek city of Syracuse. When a Roman soldier approached him, he yelled in Greek, 

“Do not touch my circles!” The Roman soldier simply cut off his head and went on his business.

(the computers cannot calculate so many digits)

It is actually 1.24 trillion. Discovered by a supercomputer

circle tricks.

Thinnest measurement on earth. Now even thinner

duh? shouldn"t it be same then?