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Does God know π?
π in Bible• The Biblical reference is from 1 Kings 7:23.
“He made the Sea of cast metal, circular in shape, measuring ten cubits from rim to rim and five cubits high. It took a line of thirty cubits to measure about it.” (NIV)
• The “Sea of cast metal" is a large metal bowl. • The ”circular in shape" suggests a circle. • The thirty cubits is the circumference. • The ten cubits is the diameter. • The formula we learned in school is
– Circumference = π times Diameter. • π = Circumference / Diameter = 30 / 10 = 3, which suggests
the Bible says pi equals 3.
But, π ≠ 3• We "know" that the the value of pi is an
infinite decimal, 3.1415926…. We usually round this to a value of 3.14, or in fractions, 3 and 1/7.
• Although we can probably agree that the Bible is not intended as a math textbook, is it possible the Bible got this one so wrong?
Explanation• Let’s consider 1 Kings 7:26“It was a handbreadth in thickness, and its rim was like the rim of a cup, like a lily blossom. It held two thousand baths” (NIV)• This suggests that the bowl was not paper-
thin; it was a handbreadth thick. • Dictionary simply defines a "handbreadth" as
"the breadth of the hand - from 2 1/2 to 4 inches.”
1 cubit = 18 inchesOuter diameter = 10 cubits = 180 inchesOuter radius = 5 cubits = 90 inchesInner Circumference = 30 cubits = 540 inches.
Since the thickness of the bowl is given as one handbreadth ≈ 4 inches, then the inner radius must be: 90 – 4 = 86 inches.
The circumference formula is C=2πr.
540 = 2π86540 = 172ππ = 540/172 = 3.139534884…≈ 3.14