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If a table is round and its diameter is determined to 1%, how well is the area known?
my guess is that it wouldn't be better to know the radius because the diameter is a longer measurement, but I don't know how to do the calculations for the first part at all! my engineering teacher did not teach us at all...
thank you for any help!
1 Answer
- M3Lv 71 decade agoFavorite Answer
The area of a circle A = pi*R^2 or pi*D^2/4 where D is the diameter
The error is 1% so a diameter of 100 might br measured as 99 or 101
In the formula for A , pi/4 is a constant and can be ignored in computing the increase in error
Let D = 100 so measurement might be 99 or 101
99^2 = 9801 & 101^2 = 102.01 so the area is known to around 2%
