Pi is not equal to 22/7. Know why?

-

 

Pi is not equal to 22/7.

Since our childhood we know Pi(𝝿) is equal to 22/7. But no, Pi(𝝿) is not exactly equal to 22/7.
In this post we know the value of 𝝿 and why it is not equal to 22/7.

Definition of Pi(𝝿):

Pi is defined in many ways. Most popular definition is as following:
Pi(𝝿) is the ratio of a circle's circumference to its diameter.

Pi is the ratio of Cirtumference of a circle to the diameter of that circle.

Mathematically, it is proved that Pi is an irrational number. So, being an irrational number the following conclusions are made.

  1. Pi can not be expressed as a fraction.
  2. The decimal value of Pi(𝝿) is Non-Terminating and Non-Repeating.

So, according to Conclusion(i) we can say Pi(𝝿) can not be exactly equal to 22/7.

Since the decimal value of Pi is Non-Terminating and Non-Repeating (i.e. value of Pi is never ending), Mathematician had tried to find as many decimal places as possible.
It was complex and time consuming but after invention of Calculus and Computer, it becomes easy.
Now, Pi(𝝿) can be expressed to many trillions of decimal places.

Value of pi is not exactly equal to 22/7. 22/7 is equal to 3.1428.... but pi is equal to 3.141592...

So, from the above it is clear that value of Pi is not exactly equal to 22/7. But, for daily uses where much more accuracy is not needed, we use Pi(𝝿) as 22/7 for the sake of convenience in calculation. 

Thank You for reading.

 

Triangle Tutorial

Comments

Post a Comment

Popular posts from this blog

KNOW ABOUT BASIC ELECTRICAL AND ELECTRONIC DEVICES

-
Image
Nowadays, we are familiar with the, electricity and various electrical instruments. There are many things  e.g light, fan, TV, refrigerator,switch,fuse etc. in our house. We use this instruments. But we frequently listen some terms and devices name viz. voltage, current, AC Current, DC Current, resistor, transformer, capacitor, LED, inductor etc . which we don't use these directly. But, amazing fact is that, the instruments which we daily use, are made of these(resistor, capacitor etc.).  Let's discuss these. Here, I don't discuss these so deeply. What is Voltage? and  What is Current? Voltage( Potential difference) represents the force. And Current represents the flow of electrons in the circuit. We (who are the basic users or novice) need not know much about this. It is a image of mobile charger.See what is written as input and output The unit of voltage is volt ( v ) and current is ampere ( A ). 1mA=(1/1000) A You obviously heard the term w
Read more

FUNCTION OF BASS, TREBLE, VOLUME OPTION IN AN AMPLIFIER

-
Image
Bass and Treble options are used to regulate the sound on the basis of frequency.  Generally a audio amplifier has 3 main controlling options. (i) Volume or Master  (ii) Bass (iii) Treble Volume : When we increase Volume the loudness of the audio is increased. In frequency level, the amplitude of all the frequencies are increased.  Similarly, when we decrease Volume, the loudness is decreased i.e. amplitude of all the frequencies are decreased. Bass : When we increase Bass, the loudness of only lower frequencies are increased i.e. amplitude of the lower frequencies are increased. When we decrease Bass, the loudness of only lower frequencies are decreased i.e. amplitude of the lower frequencies are decreased. Treble : When we increase / decrease the Treble, the loudness of the sound of only higher frequencies are increased / decreased. Now the main questions is that what do lower and higher frequencies mean ? We know that human beings able to hear in the fre
Read more

MATTER AND ITS STATES (PHASE)

-
Image
What is Matter: Matter is anything that has mass and occupy space. Example: wood,water,Oxygen etc. All tangible things are made of matter. How many states (phases) can a matter have in nature: There are normally 3 states. Solid, liquid and gas. There exists another one, named Plasma state. In this post, this state is not described.  Every matter can be converted from any state to any state. Suppose, water. Water can be got as solid, liquid, or gas. We know solid form of water is called ice, liquid form is water , and gaseous form is  water vapor.    How can the state of matter be changed: The changing of the state of matter is known as Phase change of matter. We can change the state of a matter Varying the Pressure Varying the Temperature  1.Changing of phase by varying Pressure: Increasing the pressure, gas can be converted into liquid and then solid. Similarly, solid can be converted into liquid and then gas. Match lighter You may
Read more