SOLUTION: A three thousand year old babylonian tablet was discovered in 1936 gives the ratio of the perimeter of a regular hexagon to its circumscribed circle as 57/60+36/60^2. From this wha

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Question 1133661: A three thousand year old babylonian tablet was discovered in 1936 gives the ratio of the perimeter of a regular hexagon to its circumscribed circle as 57/60+36/60^2. From this what did the Babylonians think π was equal to?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


57%2F60%2B36%2F60%5E2+=+%2857%2A60%2B36%29%2F60%5E2+=+3456%2F3600+=+24%2F25

The radius of the circumscribed circle is the side length of the regular hexagon. If we use P to represent the Babylonians' value for pi, and if the side length of the hexagon is s, then the perimeter of the hexagon is 6s and the circumference of the circumscribed circle is 2Ps. So

24%2F25+=+%286s%29%2F%282Ps%29
24%2F25+=+3%2FP
24P+=+75
P+=+75%2F24+=+25%2F8+=+3.125

The Babylonians' value for pi was 3.125.