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It is -4.62%
If you mean percent error of 3.14 versus pi, which is 3.14159..., the error is only 0.05%
Percent error is typically used to describe the difference between an expected value and an observed value (measured in an experiment). To calculate percent error, you must know the expected (or theoretical) value, determined from reference manuals and formulas. Percent error = [(actual measured value)/(expected value) - 1] x 100% Let's say that you do a chemistry experiment, where you expect to use 30 mL of a hydrochloric acid solution to neutralize a prepared solution of sodium hydroxide. When you perform the experiment, you actually use 30.2 mL of hydrochloric acid solution. Percent error = [(30.2 mL) / (30 mL) - 1] x 100% = 0.667 % error
Sometimes you will take the absolute value of the percent error because your estimated number could be less than the theoretical, meaning the calculation is negative. But an absolute value is always positive. A percent error can be left as a negative though, and this would be perfectly acceptable (or even preferred) depending on what you're doing.Answer:In the sciences, a negative percent error indicates a low result. If you have a 0% error, then your observed (lab) result was exactly the same as the theoretical result. A 5% error could mean that your observed result was a little high. A negative percent error is possible; if your observed results were lower than the expected, then you would have a negative percent error. A -5% error could mean that your results were a little low. Having a negative percent error isn't worse than positive percent error -- it could mean the same thing. If you were to have a choice in having a 20% error and a -5% error, the negative percent error is more accurate.
Percent Error = {Absolute value (Experimental value - Theoretical Value) / Theoretical Value }*100