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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!
2 Answers
- 1 decade agoFavorite Answer
You're trying to find how much error could happen.
Assume the diameter is supposed to be 2, and the radius is supposed to be 1. The area is supposed to be pi*r*r, or pi.
Now let's say the diameter is 1% off, or 2*1.01 = 2.02. The radius is now 1.01, so the area is pi*1.01*1.01 = pi*1.0201.
That means the area is off by as much as pi*1.0201/pi = 1.0201, or 2.01%.
