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Pi. The area of a circle is one of the first formulas that you learn as
a young math student. It is simply taught as, . There is ...
... get the area of the constructed circle is Area = pi(r ... To convert a circle into a
square you must first divide the diameter into eight parts and one of the ...
... root 3/2 = -1 1/4 Unit Circle Using TI-82?s and ... SSA), When given 2 sides and 1 angle
opposite one of these ... cosB = 4/5 tanA = 4/3 tanB = 3/4 Area of Triangles ...
... is a flat area in between every hallowed out semi-circle. ... sculpture on the Parthenon
was at one time painted ... was a combination of a marketplace and civic area. ...
... to surveying, salary distribution, calculation of area of simple ... sixty with circles
(360 degrees to a circle). ... Greeks was Pythagoras who provided one of the ...
Submitted by Divergent on August 30, 2005
Category: Miscellaneous
Words: 1681 | Pages: 7
Views: 77
Popularity Rank: 84,886
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The area of a circle is one of the first formulas that you learn as a young math student. It is simply taught as, . There is no explanation as to why the area of a circle is this arbitrary formula. As it turns out the area of a circle is not an easy task to figure out by your self. Early mathematicians knew that area was, in general to four sided polygons, length times width. But a circle was different, it could not be simply divided into length and width for it had no sides. As it turns out, finding the measurement to be squared was not difficult as it was the radius of the circle. There was another aspect of the circle though that has led one of the greatest mathematical voyages ever launched, the search of Pi.
One of the first ever documented estimates for the area of a circle was found in Egypt on a paper known as the Rhind Papyrus around the time of 1650 BCE. The paper itself was a copy of an older “book” written between 2000 and 1800 BCE and some of the information contained in that writing might have been handed down by Imhotep, the man who supervised the building of the pyramids.
The paper, copied by the scribe named Ahmes, has 84 problems on it and their solutions. On the paper, in problem number 50 he wrote; “Cut off 1/9 of a diameter and construct a square upon the remainder; this has the same area as a circle.” Given that we already know that the area of a circle is we find that the early Egyptian estimate for the area of a circle was which simplified to or 3.16049… Though, the papyrus does not go into detail as to how Ahmes derived this estimate. This estimate for Pi given by the ancient Egyptians is less than 1% off of the true value of Pi. Given, there was no standard of measurement in that day and they also had no tools to aid them in such calculations such as compasses or measuring tapes, this is an amazingly accurate value for Pi and the area of a circle.
Another early attempt at the area of a circle is found in...
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