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EXPERIMENTAL DETERMINATION OF AREA OF CIRCLE & VALUE OF pi

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Posted by dr_syed_ameen2000 on April 30, 2003 at 11:47:31:

april.30.2003
EXPERIMENTAL DETERMINATION OF THE AREA OF A CIRCLE & VALUE OF PI:
I would like to show the error in my experimental determination of the AREA of a Circle and deduct the value of pi from that.Here is what I did:
I took a circular disk and drew with a pencil its trace of circumference by putting the disk on a flat paper.The I took a piece of THREAD and went along the traced circumference which I drew on paper.Cutting the thread exactly equal to the drawn circumference.Then opened the thread on a ruler and measured the LENGTH of the thread which I assumed is exactly equal to the circumference of the circle which i traced on paper.Now i also used the same technique to measure the diameter of the already drawn circle.Thus I know the radius of the circle precisely,using the same thread approach.Now I plugged it into the old formulae for the circle; C=2 pi. r and A= pi. r^2
circumference C=length of the Thread L and Area=A
C=2 pi.L
what is seen is surprising the answers are very different!
Where is the mistake.Even the value of the pi from this method is far different!


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