hooglanimation.blogg.se - Calculate pi to

Count the number of marbles from one side of the circle to the other.Once you have a circle of marbles, do the following:

If your marbles start to roll, reconsider the flatness of your surface. It should therefore be possible to calculate pi using some marbles and some simple division and multiplication. The area of a circle is pi times the radius squared. One of the first calculations of pi by the Egyptians was believed to have involved a method similar to the one we are using in this experiment. Discovering the Magical Pi, from the Teacher Vision website.Pi, a Very Special Number, from the NRICH website.How accurate is this? How truly circular are the things you are measuring? If you used a One Direction CD, will you have the guts to share this fact with the rest of us? Read more about it… Take the object’s circumference (the bigger number) and divide it by its diameter.Make a note of the number you get this is your object’s diameter.Now lay your ruler across the widest part of your object and measure the length of this.Using your ruler, measure the length between the end of your string and the mark you made, and note this down.Mark the string at the point where it meets.Take your piece of string and wrap it around the widest part of your circular object.So the most direct way to measure pi is to take anything that you can find that is circular and measure the circumference and divide it by the diameter. Pi is defined as the ratio of the circumference of a circle to its diameter.

1 flat circular object, such as a plate, cup, or a CD.

Why not challenge your class to put away their calculators if the method you choose involves maths that your pupils can manage with a little mental arithmetic?.

Pick a method or methods that suit the ‘level’ of your pupils.

(If you wish, let us know how you get on via or our Facebook page.) Try one of the techniques below and add your results to the 'What's your pi' form on the homepage. Pi Day Live is over but you can still take part. But can we still calculate pi using ancient techniques?ĭuring the Pi Day Live event, we asked the question: if everyone taking part tries techniques from the pre-computerised age and we then take an average of the results will we be able to derive pi to one, two, three or more, decimal places? Can we do better than the ancient Greeks or have we lost the ability to rediscover this amazing number without using computers and maybe even without calculators? Pi is a very old number the ancient Egyptians and the Babylonians knew of its existence even though they could not calculate it with the accuracy we can today.Įven though pi to a few decimal places is accurate enough most of the time mathematicians have pushed the limits of computing technology to calculate pi to over one trillion digits. This ratio will always be the same number, no matter what circle you use to work it out. Pi is the ratio of the circumference of a circle to its diameter: 3.14159 to 5 decimal places and often written as ‘Л’.