Saturday, 27 July 2013

Can you Calculate Pi?

BENIEL SEKA

“I wish I could calculate pi”. Those are words which seemed to occupy the mind of the Tanzania Deputy Minister for Education (TAMISEMI), Honourable Kassim Majaliwa (MP) on Pi-Day, 2012. The Deputy Minister had been invited by the Mathematical Association of Tanzania (MAT/CHAHITA) to be the guest of honour at the 9th Pi-day celebration in Tanzania held at Jangwani Girls’ Secondary School in Dar es Salaam on 14th March, 2012.
The celebration had begun with a charity walk from Tambaza High School to Jangwani Secondary school and received by the Deputy Minister. He was later led through some mathematics exhibitions displayed by teachers and mathematics books display from book publishers. After admiring the displays, the Deputy Minister was led to a high table where he was introduced to the participants.
The master of ceremonies (MC) called the pioneer of Pi –day in Tanzania to explain the concept of pi and hence inform the participants about pi-day. He started by saying that pi is defined as the circumference of a circle divided by its diameter. “The quotient obtained is approximately equal to 3.14 for any circle. In order to create pi-day, the number 3 has been chosen to represent the 3rd calendar month (March) and 14 to represent the day. Thus pi-day is on 14th March,” he said further.
Some participants smiled in appreciation for those who initiated the idea. The pioneer then informed he participants by saying, “Pi, has been obtained to millions of decimal places. For example, the value of pi to decimal 20 places is 3.14159265358979323846. How many of these figures can you remember?” He looked at the audience. There was evidence from their faces that they could not remember even eight of them. Pi is 3.1415926 to seven decimal places (eight figures). With the same notion of pi-day, 1 after the number 14 is taken as 1 o’clock, 59 as minutes and 26 as seconds to represent the pi hour (1:59:26).”
Several participants including the Deputy Minister applauded in appreciation of the new knowledge. One of them whispered and said, “How I wish I could calculate pi!” The pioneer heard him. He wrote the sentence on a flip chart that many of the participants could see. He then showed it to them.
“Look,” he said, “You can use this sentence to recall pi to six decimal places. “You just count the number of letters in each word in that order and they will stand for the figures for pi. HOW I WISH I COULD CALCULATE PI. The word ‘how’ has 3 letters, so the first figure is 3. The second letter is I which has 1 letter, so the second figure is 1. The third word ‘wish’ has 4 letters, so 4 is the third figure. The fourth word has one letter; therefore the fourth figure is 1 and so on. Hence, the value of pi to six decimal places (seven figures) is 3.141592.”
The audience stared at him unbelievingly. “So it is possible to remember the value of pi by recalling this sentence,” said one teacher sitting close to the Deputy Minister. The Deputy Minister nodded in agreement.
The MC proceeded with the programme where he invited the Deputy Minister to present prizes to the 2011 mathematics contest winners. The MAT/CHAHITA gave a short speech and eventually invited the Deputy Minister to address the gathering.
The Deputy Minister praised the Mathematical Association for organizing the Pi-day celebration. He expressed his appreciation for the knowledge he gained about pi. He saw the occasion as a good move towards promoting the learning of mathematics which was facing a decline. He promised to support MAT/CHAHITA in its effort to alleviate the problem of poor performance in mathematics in the country. He advised the association to inform his ministry about its plans in good time to enable implementation.
The programme included singing pi-day songs, pi-day songs and drum beats. At the end, participants sang the popular song ‘Happy Pi-Day’ to mark the day. They all sang joyfully .This was an indication that they enjoyed the day.
One female teacher showed interest in looking for more ways of calculating pi. She rushed to the pioneer and inquired, “Is there any other way I can use to remember the value of Pi?”
“Yes,” he replied. He had been to school with this lady. He knew how Quantum Mechanics used to give them a hard time in their Physics undergraduate course. He also remembered that after lectures they used take alcoholic drinks. “Try the following,” he told her. “HOW I NEED A DRINK, ALCOHOLIC OF COURSE, AFTER THE HEAVY LECTURES REGARDING QUANTUM MECHANICS.”
She wrote the sentence and counted the letters of each word. She then wrote the value for pi as 3.14159265358979. She compared this value with the one she had copied from a book. “It is correct,” she shouted with excitement.
The pioneer just watched her and asked, “How many decimal places does it give you?”
She counted them and said, “Fourteen.”
“You can now write pi to fourteen decimal places just like that. No sweat. The challenge is to compose more such sentences. People will admire you.”
“That is why some people are able to reproduce the value of pi so easily. I will cherish this. Thank you.”

END



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