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Pi - The Irrational Constant

written by: shimonbentzvi
 
Try to answer questions on this most important and mysterious mathematical constant - Pi.

Question 1:


Which of these correctly defines the mathematical constant pi?
The ratio of a circle's circumference to its diameter.
The ratio of a circle's area to its diameter.
The ratio of a circle's area to its radius.
The ratio of a circle's circumference to its radius.

Question 2:


References to measurements of a circular basin in the Bible (Kings 7:23), appears to give what corresponding value for pi?
3.14
2.71828
22/7
3

Question 3:


What is the exact value of the mathematical constant pi, a real number which is in common use in mathematics, physics, and engineering?
22/7
There is no answer
3.14
square root of ( 16 / (square root of 3) )

Question 4:


The mathematical constant Pi can be approximated by taking a series of polygons inscribed in a circle and a series of polygons circumscribed around the circle. Who was the first to write of this method of calculating pi?
Carl Friedrich Gauss
Archimedes
Sir Isaac Newton
Euclid

Question 5:


The mathematical constant Pi is inherently involved in which of these math problems ?
Finding the optimum value for the weight of a building's foundation
Calculating the number of years it takes to double your money in an investment
Squaring the circle
Calculating the area of polygons

Question 6:


Whose was the proposal to use the 16th letter of the Greek alphabet, π, as a symbol for Archimedes' constant, also known as Ludolph's number?
Archimedes
Isaac Newton
William Jones
Leonhard Euler

Question 7:


Pi Day is celebrated by many lovers of the mathematical constant, π, on what date?
December 3rd
May 5th
January 13th
March 14th

Question 8:


Which of these statements regarding the mathematical constant, pi is incorrect?
Pi is transcendental
Lars Erickson wrote a symphony based on pi
People compete to see who can memorize the most digits of pi
By using larger and larger computers we can one day find the exact value of pi

Question 9:


As you calculate more and more decimal places for the mathematical constant pi, you will eventually reach "Feynman's Point." Which one of these most accurately defines "Feynman's Point?"
The last decimal place we know
The decimal place where we have five nines in a row
The decimal place where we have six zeros in a row
The place where the decimal value of pi shows three 9's in a row

Question 10:


Which of these statements regarding the mathematical constant, pi, is incorrect?
The first written reference to the ratio of a circle's circumference to its diameter was written about 1650 b.c.e
In September of 2002, Dr. Yasumasa Kanada at Tokyo University calculated pi to 1.2411trillion decimal places
There is no zero in the decimal expansion of pi
22/7 is a good approximation for the value of pi

 


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