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Around 263 CE, the Chinese mathematician Liu Hui's 'circle-cutting method' approximated π by inscribing polygons inside a circle. Later, Zu Chongzhi (~480 CE) used a polygon with 24,576 sides to get the famous approximation π ≈ 355/113. This fraction is so accurate that for over 800 years:
ANo one used it
BIt remained the most accurate value of π in the world
CIt was the exact value of π
DIt was disproved later
Answer & Solution
Correct answer: B. It remained the most accurate value of π in the world
Zu Chongzhi's 355/113 ≈ 3.1415929 is accurate to 6 decimal places. No fraction with denominator under 15,000 is closer to π. This rational approximation went unsurpassed in accuracy for over 800 years — until Madhava in 14th-century Kerala gave an infinite series for π.
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