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Why the area of a circle with a rational radius must be an irrational number?
It the radius is r then the area is pi*r*r - which is pi times a rational number. pi is an irrational number, so the multiple of pi and a rational number is irrational.
Is the circumference of a circle an irrational number?
Yes if the diameter is rational. But it need not be if the diameter is irrational. If the diameter is 3/pi units, for example, then the circumference will be (3/pi)*pi = 3 units.
Is the circumference of a circle considered to be a whole number?
No because the circumference of a circle is pi times diameter and pi is an irrational number
Pi is an irrational number what does that really mean?
Its decimal value keeps going on forever, without ever repeating. It can never be reduced to an exact fraction value of two whole integers.It means that pi is an irrational number and as such can not be expressed as a fraction
What is pi divisible by?
Pi is an irrational number, meaning it cannot be expressed as a simple fraction. As such, pi cannot be divided evenly by any non-zero integer, including itself. In other words, pi is not divisible by any whole number.
Who proved that pi is irrational and when?
Johann Lambert proved that pi is irrational in 1761.
Who proved that pi is an irrational number in 1761?
Lambert.
What proof about pi was Johan Lambert famous for?
He proved that pi is an irrational number.
What 1768 proof about pi is the German mathematician Johann Lambert famous for?
that pi is irrational
Is pi an irrational or rational number How do you know?
Pi is an irrational number. Johann Heinrich Lambert proved that in the late 18th Century.
When is Pi is proven to be irrational?
The first proof of the irrationality of Pi was done by J.H. Lambert in 1768
When was Pi proven irrational irrational?
There were beliefs for pi being irrational since the 9th century. However, the first proof was given in 1768 by Johann Heinrich Lambert.
Who discovered pi is irrational no?
It was known from ancient times that pi is irrational. However, that fact was proven in 1761 by the Swiss scientist Johann Heinrich Lambert.
How did Johann Heinrich Lambert prove pie was irrational?
Because pi can not be expressed as a fraction
Who helped in the development of pi?
1.Euler 2. Lambert 3.Liouville 4.Hermite 5.Linderman - Euler's infinite Expansion of Pi with primes. - Lamert proved that Pi was irrational - Liouville proves the existence of Transcendental numbers - Hermite proved that the constant was transcendental. - Linderman proved that Pi was trancendental Thanks :)
What is an irrational number and why is pi an irrational number?
An irrational number is a real number that cannot be expressed as a ratio of two integers, x and y, where y>0. In 1761, Johann Heinrich Lambert proved that pi is irrational. His proof and alternatives by other mathematicians can be found at the attached link.
This french mathematician discovered how to prove that pi was an irrational number?
Johann Heinrich Lambert, however, Johann was Swiss, not French.
