Did we get Pi wrong?

Question

What if we used 2*Pi as the constant of choice?
Ti = 2*Pi

Then
Circumfence of a circle = (r)(Ti)
Full circle has Ti radians
Formula for volumn of a cylinder containing a sphere = (Ti)(r^3)
Limit as x approaches infinity of (x)sin(360 deg / x) = Ti

The only formula that I know off of the top of my head that is simplier using Pi is the area of a circle, but doesn't it make more sense as (Ti)(r^2)/2 based on the integral of the circumfrance?

What do you think? Are we more likely to find an alien signal with hydrogen * 3.14159... or hydrogen * 6.28318...

Answer 1

Pi is defined to be the ratio of the circumference of a circle to its diameter. All you are saying is "why not define it as the ratio of the circumference to the radius of a circle?"

If that's what floats your boat, then you can rock on and do that.

The Greeks defined it that way because it was easier to work with for what they were doing at the time.

To answer your question though, I'd probably say 6.28318... for alien life. Personally, I think it makes more sense to describe this concept in terms of the radius too (like you said), but that just isn't how history evolved and now we're stuck with Pi the way it is.

Answer 2

There's really very little difference between the two, although pi shows up in more than just analytical geometry. Using your Ti constant would change the equations for complex numbers and trigonometric functions without any resulting simplification. However, I suppose that mathematics would be different Ti had be chosen over pi.

Concerning the possibility of alien signals, the 21 cm^-1 hydrogen band times a transcendental constant is only a guess made by astronomers as to how contact signals might be transmitted. It does make sense in that hydrogen is the most common element in the Universe, and knowledge of transcendental numbers indicates a sign of intellegence. However, this presumes that they would develop a radio technology in the same range of the light spectrum. If they live in a system with a red sun, they may not trasmit in the radio bands that we use due to being flooded with light in that spectrum. However, I suppose that any multiple of 1H * pi would be as good of a guess as any.

Answer 3

Hi:

No they did not get pi wrong that is the ratio of the circle 's circumfence to the diameter However 2*pi is used in radian measure of a circle because 360 degree in radian measure is 2*pi and since the radius of a circle is one half the diameter when the radius is used 2* r* pi must used to the relationship D= 2 * radius

hope this answer your question

Answer 4

Yes! It is a little known fact that I discovered this number 35 years ago. It is named "bleen"

It happens to be the integer between 6 and 7, proving that pi is a rational number.

Answer 5

pi is supposed to equal the ratio of the circumfrence of a circle to its diameter. Using your "Ti" isn't really that useful.

Answer 6

Yeah, I think that ancient people were thinking of circumferances before they were thinking of areas. (One dimensional before two dimensional.) It would make sence to think of pi first.

As far as hearing aliens, I think it's like playing the lottery; you're either going to win or you aren't. Go ahead and buy a ticket, just don't buy 100.

Besides, who says H*pi is so important? Wasn't that just in a movie? Are SETI guys really putting all of their eggs in the "H*pi" basket?

Answer 7

then we can say
π = 1/2 ti

Answer 8

sure why not