Table of Contents
- 1 Which mathematician came up with pi?
- 2 Who was the first Greek to calculate pi?
- 3 What shape did Archimedes use to approximate pi?
- 4 Who was a Greek mathematician known for my work on similar and right triangles?
- 5 What is an approximate value for pi?
- 6 How did Archimedes find the value of pi?
- 7 Who was the first person to calculate pi?
- 8 Which is the most popular approximation of Pi?
- 9 What do you need to know about pi ( π )?
Which mathematician came up with pi?
Archimedes of Syracuse
The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.
Who was the first Greek to calculate pi?
mathematician Archimedes of Syracuse
Ancient Greek mathematician Archimedes of Syracuse, who lived in the third century B.C. and is considered the greatest mathematician of the ancient world, is credited with doing the first calculation of pi.
How did Liu Hui calculate pi?
Liu Hui’s own calculation with a 96-gon provided an accuracy of five digits: π ≈ 3.1416. Liu Hui remarked in his commentary to The Nine Chapters on the Mathematical Art, that the ratio of the circumference of an inscribed hexagon to the diameter of the circle was three, hence π must be greater than three.
What shape did Archimedes use to approximate pi?
By doubling the number of sides of the hexagon to a 12-sided polygon, then a 24-sided polygon, and finally 48- and 96-sided polygons, Archimedes was able to bring the two perimeters ever closer in length to the circumference of the circle and thereby come up with his approximation.
Who was a Greek mathematician known for my work on similar and right triangles?
Probably the most famous name during the development of Greek geometry is Pythagoras, even if only for the famous law concerning right angled triangles. This mathematician lived in a secret society which took on a semi-religious mission.
How did Archimedes approximate pi?
Archimedes’ method finds an approximation of pi by determining the length of the perimeter of a polygon inscribed within a circle (which is less than the circumference of the circle) and the perimeter of a polygon circumscribed outside a circle (which is greater than the circumference).
What is an approximate value for pi?
3.14159
Value of pi When starting off in math, students are introduced to pi as a value of 3.14 or 3.14159. Though it is an irrational number, some use rational expressions to estimate pi, like 22/7 of 333/106. (These rational expressions are only accurate to a couple of decimal places.)
How did Archimedes find the value of pi?
How did Zu Chongzhi approximate pi?
The closest approximation of Pi for nearly a thousand years was calculated by Chinese mathematician Zu Chongzhi around 480 CE, using an algorithm developed by Liu Hui. Very roughly, it approximated the area of a circle and then worked backwards to reach pi. This is how it worked: Draw a hexagon within a circle.
Who was the first person to calculate pi?
Around 600 years after Archimedes, the Chinese mathematician Zu Chongzhi used a similar method to inscribe a regular polygon with 12,288 sides. This produced an approximation of Pi (π) as which is correct to six decimal places. It was nearly 600 more years until a totally new method was devised that improved upon this approximation.
Which is the most popular approximation of Pi?
The fraction has remained as one of the most popular and memorable approximations of Pi (π) ever since. Around 600 years after Archimedes, the Chinese mathematician Zu Chongzhi used a similar method to inscribe a regular polygon with 12,288 sides.
What did Archimedes do with the computation of Pi?
Earth Mysteries – Notes on Pi. Sources on Archimedes’ Screw. Archimedes’ mathematical work exhibits great boldness and originality in thought, as well as extreme rigor. Among his mathematical accomplishments is the computation of pi, which is the ratio of the circumference of a circle to its diameter.
What do you need to know about pi ( π )?
We learn that we can start to write down Pi (π) = 3.141592653589….. but that we can never finish it. Pi (π) goes on forever and has no repeating pattern to its digits – it is what is called an irrational number.