
How to convince a layperson that the $\\pi = 4$ proof is wrong?
Depending on the order in which these limits are taken, you can get either $4$ or $\pi$. In answer to the following question: However, a layman would ask "why is your strange 'polygonal approximation' method correct, but the π=4 proof's method incorrect?"
Q: π = 4? | Ask a Mathematician / Ask a Physicist
Jan 11, 2011 · There is a very simple way to prove whether pi is 4 or not. It is not a very technical experiment, although it is scientific (since science requires observation, and it is readily observable.) Measure the diameter of a cup you have around the house. Let’s say the diameter is …
False proof: $\pi = 4$, but why? - Mathematics Stack Exchange
Aug 9, 2015 · One can use this method of infinite cylinders to prove the volume of a sphere, but when I tried almost the exact same thing for surface area, I found that the value of pi is 4. I have only heard of one other strange proof that leads to this …
The staircase paradox, or why $\\pi\\ne4$ - Mathematics Stack Exchange
Dec 3, 2010 · Summary: The construction at the top (pi=4) merely shows an upper bound. It's an upper bound but it is very easy to come up with a lower but still upper bound to the circumference. The =?4 construction doesn't prove or disprove very much more about the length of the circle besides providing an upper bound pi<4. It certainly doesn't prove =4.
Why π = 4 is wrong? : r/learnmath - Reddit
The troll pi meme essentially says: the perimeter at every step is 4, and when we take the limit we get a circle, so the perimeter of the circle is 4. Perimeter is a function: it takes a geometric shape as input, and gives you a number as output.
Pi is 4 video - Kevin Houston
Mar 10, 2011 · Since the jagged curve gets closer and closer to the circle and always has length 4 we can see that the perimeter of the circle has length 4. But the perimeter length is also equal to π. Therefore, π is 4.
How do we know pi is an irrational number? | Live Science
1 day ago · "Using calculus with complex numbers, you can prove π is transcendental," Conrad said. "The proof uses the very famous equation called Euler's identity: e iπ +1 = 0.". Although pi's universal ...
What you need to know about pi (the number, not the kind we eat)
5 days ago · What are some of your favorite fun facts about pi? While in secondary school, teachers usually teach students that an approximation for pi is 22/7, but this approximation is greater than pi. The first four digits of pi are 3.141, while the first four digits of 22/7 are 3.142. Due to misguided approximations like this, the state of Indiana made ...
Pi Day: what’s the meaning behind March 14 holiday – NBC New …
21 hours ago · Pi, of course, symbolizes the ratio of a circle's circumference to its diameter and equals 3.14 (which is why its celebrated on March 14). The exact value of pi can't be calculated, but that doesn ...
Proof that π is irrational - Wikipedia
In the 1760s, Johann Heinrich Lambert was the first to prove that the number π is irrational, meaning it cannot be expressed as a fraction , where and are both integers. In the 19th century, Charles Hermite found a proof that requires no prerequisite knowledge beyond basic calculus.