Can you square pi

Get out your calculator. Use 9. Now try this:. That's pretty close to the accepted value of Piand it's not a coincidence. It comes from the original version of the meter as a unit of length. One way to define a meter is to create a pendulum that takes 1 second to make one swing or 2 seconds for the period. If you remember, there is a relationship between period and length for a pendulum with a small oscillation amplitude :.

Put in 1 meter for the length and 2 seconds for the period and boom there is your connection. Here is a more detailed explanation. If you don't think that equation is crazy and awesome, then you aren't paying attention. It makes a relationship between these five numbers:.

But why does this equation work? That's not such a simple answer. Of course, you could use Euler's formula for exponentials:. However, that is sort of like explaining magic with more magic. For me, the problem is that we like to think of numbers as real countable things. But you can't count an imaginary number.

You can say that 3 2 is like 3 groups of 3, but what about 3 1. Or what about 3 Those are pretty tough to picture. Exact as in exact. Can you square pi 3. If so, what is pi squared? Factual Questions. You can square any number. Why should it be surprising that this includes pi?

Note that this is not the right value - should be 3. Multiplying a number by itself is called squaring, or finding the square of a number. The square root is just the inverse of squaring. Instead of multiplying a number by itself, it is finding the number that equals the original number when multiplied against itself.

Square roots are often seen when solving quadratic functions or running calculations for particular theorems like Pythagorean's Theorem.

It is expressed using the symbol , or the abbreviation sqrt, but it can also be expressed using exponentials. In other words:. Like we said above, since the square root of Pi is an irrational number, we cannot make it into an exact fraction.

However, we can make it into an approximate fraction using the square root of Pi rounded to the nearest hundredth. All square roots can be converted to a number base with a fractional exponent. The square root of Pi is no exception. We will calculate the square root of Pi using the first five digits of Pi which is 3. Step 1 Set up 3. Therefore, put 1 on top and 1 at the bottom like this: 1 3 14 15 1 Step 3 Calculate 3 minus 1 and put the difference below.