Enter the theoretical area (ft^2) and the measured area (ft^2) into the Calculator. The calculator will evaluate the Error In Area. 

Error In Area Formula

EIA = (TA - MA) / TA * 100


  • EIA is the Error In Area (%)
  • TA is the theoretical area (ft^2)
  • MA is the measured area (ft^2)

To calculate the Error In Area, divide the difference between the theoretical area and measured area by the theoretical area, then multiply by 100.

How to Calculate Error In Area?

The following steps outline how to calculate the Error In Area.

  1. First, determine the theoretical area (ft^2). 
  2. Next, determine the measured area (ft^2). 
  3. Next, gather the formula from above = EIA = (TA – MA) / TA * 100.
  4. Finally, calculate the Error In Area.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

theoretical area (ft^2) = 15

measured area (ft^2) = 10


What is the significance of calculating the Error In Area?

The calculation of Error In Area is significant in various fields such as construction, surveying, and engineering to ensure accuracy in measurements. It helps in identifying discrepancies between the expected and actual measurements, enabling professionals to make necessary adjustments or corrections.

Can the Error In Area formula be used for shapes other than square or rectangle?

Yes, the Error In Area formula, which is based on the difference between theoretical and measured areas, can be applied to any shape as long as you can accurately calculate or estimate the theoretical and measured areas of the shape in question.

How can measuring errors be minimized when calculating the Error In Area?

Measuring errors can be minimized by using more precise measuring tools, ensuring measurements are taken accurately and consistently, and by repeating the measurement process several times and taking an average of the results to reduce the impact of any outliers.

Is it possible to have a negative Error In Area?

Yes, a negative Error In Area indicates that the measured area is larger than the theoretical area. This might happen due to overestimation during measurements or incorrect calculations of the theoretical area. It’s important to review both measurements and calculations to identify the source of the error.