PI APPROXIMATION DAY (22/07) QUIZ

 Dear All

On the occasion of Pi Approximation Day being celebrated on 22nd July (22/7) every year, Here is one very interesting quiz dedicated to Pi. There are 40 questions related to Pi. Let's know the mysterious number pi. Don't forget to share with your known/students/teachers/

Just give a TRY

 The story of pi is more than 4000 years old but the race to find its value is still continued.

Interesting Facts:-

1.  

                                             (Courtesy:- From the Tweet of @Cliff Pickover)

2. 22nd July is the birthday of -- GAUSTAV HERTZ      ---- WILHELM BESSEL  and great Indian mathematician - SHREERAM SHANKAR ABHYANKAR 

3. 22nd July 2024 is the 204th day of the year.  204 is the sum of consecutive primes in two different ways: ---

a) sum of a twin prime (101 + 103) 

b) sum of six consecutive primes (23 + 29 + 31 + 37 + 41 + 43).

204 is the sum of squares of first eight consecutive natural numbers. 

204 = 1²+2²+3²+4²+5²+6²+7²+8².

                                                      A brief Introduction of Pi

Value of Pi = 22/7 is probably taken because Archimedes (born in 287 BC) calculated the ratio of circumference to diameter coming out to be lying between 223/71 and 22/7.

Aryabhata (born in 476AD) was the first Indian mathematician who calculated the value of pi correct up to 4 decimal places. His value of pi was 3.1416. 

The Mahabharta decodes the value of pi as 3.

योजनानां सहस्राणि विष्कम्भो द्वादशास्य वै ॥ 6-12-40
परिणाहेन षट्त्रिंशद्विपुलत्वेन चानघ ।
षष्टिमाहुः शतान्यस्य बुधाः पौराणिकास्तथा ॥ 6-12-41
चन्द्रमास्तु सहस्राणि राजन्नेकादश स्मृतः ।
विष्कम्भेण कुरुश्रेष्ठ त्रयस्त्रिंशत्तु मण्डलम् ॥ 6-12-42
एकोनषष्टिविष्कम्भं शीतरश्मेर्महात्मनः ॥ 6-12-43
सूर्यस्त्वष्टौ सहस्राणि द्वे चान्ये कुरुनन्दन।
विष्कम्भेण ततो राजन्मण्डलं त्रिंशता समम् ॥ 6-12-44
अष्टपञ्चाशतं राजन्विपुलत्वेन चानघ।
श्रूयते परमोदारः पतगोऽसौ विभावसुः ॥ 6-12-45
एतत्प्रमाणमर्कस्य निर्दिष्टमिह भारत ।

The Moon is handed down by memory to be eleven thousand yojanas in diameter. Its peripheral circle happens to be thirty three thousand yojanas when calculated.

The Sun is eight thousand yojanas and another two thousand yojanas in diameter. From that its peripheral circle comes to be equal to thirty thousand yojanas.

The Bible says -

Also he made a molten sea of ten cubits from brim to brim round in compass and five cubits the height thereof; and a line of thirty cubits and compass it round about.  --- Old Testament

William L Schoff says -

Probably no symbol in mathematics has evolved much mystery, romanticism, misconception and human interest as the number of pi.

      

          Buffon

Buffon calculated the value of pi using needle. Ancient Hebrews who built Solomon's temple used pi = 3 while Shatapatha Brahmin calculated the value of pi equals to 3.085.

In 1901, Italian mathematician Mario Lazzarini Performed the Buffon Needle experiment tossing a needle 3408 times, he obtained the approximation of pi which was a very accurate value. 

Archimedes in 3rd century inscribed and circumscribed regular polygons up to 96 sides and showed the upper limit is 22/7 and lower limit is 223/71.

           Pi  Day = March 14 (3/14)

Aryabhata calculated the value of pi correct  up to 4 decimal places and can be termed as the first mathematician to do so.

Add 4 to 100, multiply it by 8 and then add 62000. The result is approximately the circumference of a circle of diameter 20000.

Madhava, the founder of Kerala School of Mathematics also calculated the value of pi before James Gregory using the infinite series.

व्यासे वारिधिनिहते रूपहृते व्याससागराभिहते।

त्रिशरादिविषमसंख्यामत्तमृणं स्वं पृथक् क्रमात् कुर्यात् ॥

यत्संख्ययात्र हरणे कृते निवृत्ता हृतिस्तु जामितया।

                         तस्या उर्धगताया समसंख्या तद्दालं गुणोऽन्ते स्यात् \\

Ramanujan made several attempt and calculated the value of pi through numerous formula.

You can also calculate the value of pi using his formula.

Yale Bablonian Tablet known as YBC 7302 also approximates pi as 3.125 . . .

Interesting Facts About Pi:- 

At position 763 which is also known as Feynman Point, there are six nines in a row. 

Johann Lambert proved Pi is irrational in 1768.

I hope you have read the information shared here. It is the time to play quiz to explore your knowledge about pi. 

CLICK HERE FOR QUIZ

A certificate is attached with the quiz provided you score 75% marks so try your luck and win certificate.

Rajesh K Thakur

google.com, pub-5194588720185623, DIRECT, f08c47fec0942fa0 google.com, pub-5194588720185623, DIRECT, f08c47fec0942fa0