I believe a Christian should be honest. And if it is honest to say that there is an inaccuracy in the Bible, I would do so, and not pretend it is not there. There is 1 Kings 7:23 at least, because it is mathematically inaccurate (actually I do not doubt its inspiration, only its scientific accuracy). Let us focus on this one verse (it only takes one inaccurate verse to disprove a claim that the whole bible is scientifically accurate):
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.
The diameter of the molten sea is 10 cubits, and has a circumference of 30 cubits as stated by verse 23.
However the mathematical formula for circumference is PI (3.14) times diameter (10 cubits), which gives 31.4 cubits circumference.
The Bible is inaccurate to about 1.41 cubits which is 2.1 feet (1 foot = 1.5 cubits).
If a math or science student answered such a calculation with 30 cubits, they would be marked wrong, no doubt.
A tolerance of 2.1 feet is too large by any good engineering standard, and too large to be a rounding error (rounding gives us 31 cubits, not 30).
The author of Scripture (not God, in this particular case, because it is in error, but whoever recorded the incorrect value of 30 cubits) either did not care about the scientific accuracy, or was reporting their actual calculation which was erroneously calculated because they did not know the value of PI to sufficient accuracy. Either way, this is a clear example of the Bible being scientifically inaccurate, and therefore a claim of the whole bible being scientifically accurate in every respect is not true. The Bible is scientifically accurate some, or most of the time, but all of the time, it is not. Inspiration and accuracy are two different things. Just because God inspires something does not mean what He inspired is always scientifically accurate. I believe many times He will communicate to us on our level with the scientific inaccuracies that we hold, because if He told us the truth it would be too vast for our finite minds to comprehend. God is not going to inspire the authors of the Bible to write about computers, rifles, motor cars or electricity, He will talk to them using the language and science that they understand, whether that be a flat earth or a round earth, horses or bows and arrows.
Does the Bible say pi equals 3.0?
by Russell Grigg
In 1 Kings 7:23 there is an intriguing statement: ‘And he [Hiram on behalf of King Solomon] 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.’ A similar account is given in the parallel passage in 2 Chronicles 4:2.
From time to time sceptics have used these verses to ridicule the accuracy of the Bible by claiming that, if one uses the figures stated, the circumference of the vessel divided by its diameter gives 3.0, instead of the value pi π, 3.14159…).1
Closer examination shows there are at least two possible explanations.
The first concerns the meaning of the word cubit, and how it would have been used in measuring the vessel. A cubit was the length of a man’s forearm from the elbow to the extended fingertips. The Hebrew cubit was about 45 centimetres (18 inches). It is obvious that a man's forearm does not readily lend itself to the measurement of fractions of a forearm. In the Bible half a cubit is mentioned several times, but there is no mention of a third part of a cubit or a fourth part of a cubit, even though these fractions of ‘a third part’ and ‘a fourth part’ were used in volume and weight measurements.2 It therefore seems highly probable that any measurement of more than half a cubit would have been counted as a full cubit, and any measurement of less than half a cubit would have been rounded down to the nearest full cubit.
From 1 Kings 7:23 (‘a line of thirty cubits did compass it round about’), it appears that the circumference was measured with ‘a line’, i.e. a piece of string or cord on which the distance was marked, and this length would then have been measured off in cubits by the measurer, using his own or someone else’s forearm, or possibly a cubit-long rod. Similarly the diameter would have been marked on a line and ‘cubitized’ in the same way.
If the actual diameter was 9.65 cubits, for example, this would have been reckoned as 10 cubits. The actual circumference would then have been 30.32 cubits. This would have been reckoned as 30 cubits (9.6 cubits diameter gives 30.14 circumference, and so on). The ratio of true circumference to true diameter would then have been 30.32÷ 9.65 = 3.14, the true value for pi, even though the measured value (i.e. to the nearest cubit) was 30 ÷ 10 = 3.
While the above seems reasonable, and the Ask ‘Dr Math’ Forum agrees that there is no error in the Bible here, we have no way of knowing for certain whether the measurements were approximated in this way. However, even if it is assumed that the measurements given were precisely 10 and 30 cubits, the following appears to provide a definitive answer.
Verse 26 of 1 Kings 7 says that the vessel in question had a brim which ‘was wrought like the brim of a cup, with flowers of lilies’ (KJV), or a rim ‘like the rim of a cup, like a lily blossom’ (NIV), i.e. the brim or rim turned outward, suggesting the curvature of a lily.3 It is believed by Bible scholars to have looked like the drawing below.4
Let us consider the details given in 1 Kings 7:23 and 2 Chronicles 4:2. These are:
The diameter of 10 cubits was measured ‘from brim to brim’ (v. 23), i.e. from the topmost point of the brim on one side to the topmost point of the brim on the other side (points A and B in the diagram).
The circumference of 30 cubits was measured with a line, ‘round about’ (v. 23), i.e. the most natural meaning of these words is that they refer to the circumference of the outside of the main body of the tank, measured by a string pulled tightly around the vessel below the brim. It is very obvious that the diameter of the main body of the tank was less than the diameter of the top of the brim. And it is also obvious that the circumference of 30 cubits could have been measured at any point down the vertical sides of the vessel, below the brim. For a measured circumference of 30 cubits, we can calculate what the external diameter of the vessel would have been at that point from the formula:
diameter =
circumference ÷ pi
=
30 cubits ÷ 3.14
=
9.55 cubits.
Thus the external diameter of the vessel at the point where the circumference was measured must have been 9.55 cubits.5
It is thus abundantly clear that the Bible does not defy geometry with regard to the value of pi, and in particular it does not say that pi equals 3.0. Skeptics who allege an inaccuracy are wrong, because they fail to take into account all the data. The Bible is reliable, and seeming discrepancies vanish on closer examination.