knowledge about pi in various civilizations ?
Answers
The knowledge about the ratio of the circumference of a circle and its diameter is constant has been known to humanity since ancient times. Ancient civilizations which were aware of this fact are as follows.
Babylonian :
By the 17th century BC, the Babylonian had a relatively advanced knowledge about mathematics and they had memorialized into complicated tables that expressed squares, fractions, square roots, cube roots, reciprocal pairs, linear and quadratic equations. It should come as no surprise, then, that these math wizards had also discerned an estimate of pie. According to Babylonians the value of pie was 3 1/8 = 3.125.
Egyptians :
The Egyptians also had knowledge about pie. The oldest evidence of pie is found in the Rhind Papyrus, which dates from about 1650 BC. The Egyptian calculated the value of pie as 4 × (8/9)² = 3.16.
Greek :
The Greeks greatly advanced the study of mathematics, and particularly the field of geometry. In 3rd century BC, Archimedes, the great engineer and inventor, devised the first known theoretical calculation of pie. According to Archimedes the value of pie was 223/71 < π < 22/7. At this point Archimedes's calculation was around 3.1418, which was by far the closest approximation up to this point. About 400 years later, another Greek, Ptolemy, further refined the estimate of pie using the chords of a circle with a 360 sided polygon to obtain π = 3 17/120 = 3.14166.
Chinese :
The Chinese mathematician, Zu Chongzhi, calculated the value of pie to six decimal places and demonstrated the value of pie as 3.1415926 < π < 3.1415927.
Answer:
By the 17th century BC, the Babylonian had a relatively advanced knowledge about mathematics and they had memorialized into complicated tables that expressed squares, fractions, square roots, cube roots, reciprocal pairs, linear and quadratic equations. It should come as no surprise, then, that these math wizards had also discerned an estimate of pie. According to Babylonians the value of pie was 3 1/8 = 3.125.
Step-by-step explanation:
Egyptians :
The Egyptians also had knowledge about pie. The oldest evidence of pie is found in the Rhind Papyrus, which dates from about 1650 BC. The Egyptian calculated the value of pie as 4 × (8/9)² = 3.16.
Greek :
The Greeks greatly advanced the study of mathematics, and particularly the field of geometry. In 3rd century BC, Archimedes, the great engineer and inventor, devised the first known theoretical calculation of pie. According to Archimedes the value of pie was 223/71 < π < 22/7. At this point Archimedes's calculation was around 3.1418, which was by far the closest approximation up to this point. About 400 years later, another Greek, Ptolemy, further refined the estimate of pie using the chords of a circle with a 360 sided polygon to obtain π = 3 17/120 = 3.14166.
Chinese :
The Chinese mathematician, Zu Chongzhi, calculated the value of pie to six decimal places and demonstrated the value of pie as 3.1415926 < π < 3.1415927.