The Area of a 5 Sided Field calculator computes an area with five straight sides (a pentagon) given the length of the five sides and two diagonals (see image).
INSTRUCTIONS: Choose units and enter the following:
Total Area of a 5 Sided Field (TA): The area is returned in acres, square feet, square meters and hectares
To compute the area of a polygon, one must reduce the measurements down to non-overlapping triangles. This is why the diagonals are needed.
WHAT DIAGONALS TO CHOOSE
Since we are defining triangles, it's important to get the order correct. Pick any corner, and consider that corner as where side A begins, and as the point to measure your two diagonals.
Enter those lengths into this calculator and you will have an accurate measure of the area (TA).
The Total Area of a 5 Sided field has to be calculated based on three triangles (A,B,G), (G,F,C) and (E,F,D). The area of the 5 sided field is the sum of those three triangles.
Once the triangles have been measured, on can use the formula for the area of a triangle based on the length of the three sides, which is:
`A = sqrt((a+b+c)/2((a+b+c)/2-a)((a+b+c)/2-b)((a+b+c)/2-c)) `
where:
For large measurements, it may be hard to accurately measure the length of the garden or field because you have no measuring device to make the long measurements. In this case, an estimate can be achieved by using paces. To do this you first have to make a good estimate of measurement of a regular pace while in stride. To do this, put a mark on the ground, and step back several paces. Start walking to the mark, and start counting some number of paces past the mark (e.g. 10). A that point, stop and measure the length. For example a man of six feet tall with a normal stride walked 14 paces in 40 feet. That gave him a feet per pace of 2.857 feet per pace. To compute the Feet per Pace, CLICK HERE. You can then walk off the measurements, using a steady pace, and convert the Paces to Feet by CLICKING HERE. It's a rough estimation method, but not without it's uses.