Difficult Passages · Numbers in Samuel, Kings, and Chronicles

Does the Bible say pi is three?

The ten cubits were measured across the brim, which turned outward like the brim of a cup; the line of thirty cubits went round the vessel beneath it.

The Passages

1 Kings 7:23
23 And he made a molten sea, ten cubits from the one brim to the other: it was round all about, and his height was five cubits: and a line of thirty cubits did compass it round about.
2 Chronicles 4:2
2 Also he made a molten sea of ten cubits from brim to brim, round in compass, and five cubits the height thereof; and a line of thirty cubits did compass it round about.

See Also

1 Kings 7:24-26
24 And under the brim of it round about there were knops compassing it, ten in a cubit, compassing the sea round about: the knops were cast in two rows, when it was cast. 25 It stood upon twelve oxen, three looking toward the north, and three looking toward the west, and three looking toward the south, and three looking toward the east: and the sea was set above upon them, and all their hinder parts were inward. 26 And it was an hand breadth thick, and the brim thereof was wrought like the brim of a cup, with flowers of lilies: it contained two thousand baths.
2 Chronicles 4:3-5
3 And under it was the similitude of oxen, which did compass it round about: ten in a cubit, compassing the sea round about. Two rows of oxen were cast, when it was cast. 4 It stood upon twelve oxen, three looking toward the north, and three looking toward the west, and three looking toward the south, and three looking toward the east: and the sea was set above upon them, and all their hinder parts were inward. 5 And the thickness of it was an handbreadth, and the brim of it like the work of the brim of a cup, with flowers of lilies; and it received and held three thousand baths.

The Difficulty

Solomon made “a molten sea, ten cubits from the one brim to the other: it was round all about … and a line of thirty cubits did compass it round about” (1 Kings 7:23; 2 Chronicles 4:2). A circle’s circumference is its diameter times pi, 3.14159…, so a vessel ten cubits across is about thirty-one and a half cubits round. Critics say the Bible here makes pi equal to three, and so is mistaken in a matter anyone can measure.

The Answer

Preferred: The two numbers are not taken at the same place, and the passages say so. The ten cubits are “from the one brim to the other” (1 Kings 7:23), “from brim to brim” (2 Chronicles 4:2): the width across the top. And the brim was not straight up and down: “it was an hand breadth thick, and the brim thereof was wrought like the brim of a cup, with flowers of lilies” (1 Kings 7:26; 2 Chronicles 4:5). A cup’s brim, like a lily, turns outward. So the widest part of the sea was its brim, and the line that compassed it went round the body of the vessel beneath.

The next verse says where that was: “under the brim of it round about there were knops compassing it, ten in a cubit, compassing the sea round about” (1 Kings 7:24; 2 Chronicles 4:3). The sea is described as compassed under its brim, where the rows of knops ran.

The numbers then agree to the letter. A line of thirty cubits goes round a body 30 ÷ 3.14159 = 9.55 cubits across. The brim, ten cubits across, stood out beyond it about a fifth of a cubit on each side, some four inches, for a brim a handbreadth thick wrought like a lily’s. Ellicott, from the shape of the vessel and its contents, concluded the same: “there must, however, have been first a bulging inwards, immediately under the rim.” Scripture does not give the ratio of a circle; it gives the measurements of a real casting, each taken where it says it was taken.

Also given: If the line was taken round the inside, the same answer holds from the other side: ten cubits across the outside of the brim, thirty round the inside of the wall, the difference made up by the thickness of the brass and the turn of the brim.

Also given: That the measures are in whole cubits, as builders give them. Gill: the circumference “answers to the diameter of 10 cubits, or near it, a round number being given not strictly mathematical”; Keil and Delitzsch, that it is “expressed in whole numbers which come very near to the mathematical proportions.” This is true of how measures are commonly given, but it is not needed here: the passages themselves say where each number was taken, and so the two are exact.

Sources

  1. A line of 30 cubits did compass it round about, this was the circumference of it; which answers to the diameter of 10 cubits, or near it, a round number being given not strictly mathematical.
    Checked against: Internet Archive scan of the first edition, 2026-10-23
  2. The relation of the diameter to the circumference is expressed in whole numbers which come very near to the mathematical proportions.
    Checked against: Bible Hub, 2026-10-23
  3. There must, however, have been first a bulging inwards, immediately under the rim.
    Checked against: Bible Hub, 2026-10-23