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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 radius.
The ratio of a circle's area to its diameter.
The ratio of a circle's circumference to its diameter.
The ratio of a circle's area 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
3
22/7

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?
square root of ( 16 / (square root of 3) )
There is no answer
3.14
22/7

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?
Euclid
Sir Isaac Newton
Archimedes
Carl Friedrich Gauss

Question 5:


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

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
William Jones
Leonhard Euler
Isaac Newton

Question 7:


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

Question 8:


Which of these statements regarding the mathematical constant, pi is incorrect?
Lars Erickson wrote a symphony based on pi
People compete to see who can memorize the most digits of pi
Pi is transcendental
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 decimal place where we have five nines in a row
The last decimal place we know
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?
There is no zero in the decimal expansion of pi
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
22/7 is a good approximation for the value of pi

 


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