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Science Quiz
/ Over or Under 3.141592653589793238462643383279502884...
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Can you name the estimate is over or under 3.141592653589793238462643383279502884197169399375105820974944592..?
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Person (entity) estimating pi
estimate is over or under actual pi
Estimate of pi
1900-1650 BC: Babylonian Empire
π ≈ 3; but at least one tablet gives π ≈ 3.125
1650 BC: Rhind Papyrus
π ≈ 256/81; π ≈ 3.16049...
950 BC: I Kings 7:23; II Chron 4:2
π ≈ 3
348 BC: Plato (supposed calculation)
π ≈ 3.146
240 BC: Archimedes
22/7 < π < 223/71; 3.1408... < π < 3.1428...
AD 78 - 139: Zhang Heng
π ≈ sq rt (10); π ≈ 3.16...
AD 264: Liu Hui (his most accurate estimate)
π ≈ 3.14159
AD 470: Tsu Chung-Chih (Zu Chongzhi)
π ≈ 355/113; π ≈ 3.1415929...
AD 499: Aryabhata
π ≈ 62832/20000, π ≈ 3.1416
AD 800: Al-Khwarizmi
π ≈3.1416
AD 1674: Leibniz Formula, though Leibniz would not have been able to calculate it this far, the formula gives
π ≈ 3.1415926535897932384626...; π/4 ≈ 1 - 1/3 + 1/5 - 1/7 + 1/9 - ...
AD 1897: Indiana State Assembly
π ≈ 3
1900-1650 BC: Babylonian Empire
π ≈ 3
1650 BC: Rhind Papyrus
π ≈ 3
950 BC: I Kings 7:23; II Chron 4:2
π ≈ 3
348 BC: Plato (supposed calculation)
π ≈ 3
AD 78 - 139: Zhang Heng
π ≈ 3
AD 264: Liu Hui (his most accurate estimate)
π ≈ 3
AD 470: Tsu Chung-Chih (Zu Chongzhi)
π ≈ 3
AD 499: Aryabhata
π ≈ 3
AD 800: Al-Khwarizmi
π ≈ 3
AD 1674: Leibniz Formula, though Leibniz would not have been able to calculate it this far, the formula gives
π ≈ 3
AD 1897: Indiana State Assembly
π ≈ 3
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