Calculate Square Meters

Square meters are a measurement of area, usually used to measure a two-dimensional space such as a field or floor. For example, you might measure the footprint of a couch in square meters, then measure your living room in square meters to see if it will fit. If you only have a ruler or measuring tape that uses feet or another non-metric unit, you can still use it to calculate the area, then convert to square meters.

Steps

Calculating an Area in Square Meters

  1. Choose a meter stick or metric tape measure. Select a meter stick ruler or tape measure with meters (m) or centimeters (cm) printed on it. These tools will make it easier to calculate square meters, since they were designed in the same system of measurement.
    • If you can only find a ruler with feet (ft) or inches (in), measure with those instead, then go to the section on converting to square meters.
  2. Measure the length of the area you're measuring. Square meters are a unit for measuring area, or the size of a two-dimensional object such as a floor or a field. Use your measuring tool to measure one side of the object, from one corner to the other. Write down the result.
    • If the object is longer than 1 meter, remember to include both the meter and centimeter parts of the measurement. For instance, "2 meters 35 centimeters."
    • If you want to measure an object that isn't rectangular or square, read the Complex Shapes section instead.
  3. If you can't measure the entire length at once, do it in stages. Lay out the measuring tool, then put down a rock or other small object exactly at an easy to remember mark (like 1 meter or 25 centimeters). Pick up the tool and lay it down again, starting at the small object. Repeat until the entire length is covered, and add all your measurements together.
  4. Measure the width. Use the same tool to measure the width of the same area or object. The side you measure in this step should be angled close to 90º away from the length of the object you measured earlier, like two sides of a square next to each other. Write this number down as well.
    • Unless the object you're measuring is much smaller than 1 meter, you can round to the nearest centimeter when making your measurements. For instance, if the width is slightly past the 1 meter 8 centimeter mark, just use '"1m 8cm" as your measurement, without using decimals or millimeter measurements.
  5. Convert from centimeters to meters. Usually, the measurements won't divide evenly into meters. Instead, you'll have a measurement in both meters and centimeters, for example "2 meters 35 centimeters." Because 1 centimeter = 0.01 meters, you can convert a centimeter measurement into meters by moving the decimal point two digits to the left. Here are a couple examples:
    • 35cm = 0.35m, so 2m 35cm = 2m + 0.35m = 2.35m
    • 8cm = 0.08m, so 1m 8cm = 1.08m
  6. Multiply the length and width together. Once both measurements are converted into meters, multiply them together to get the measurement of the area in square meters. Use a calculator if necessary. For example:
    • 2.35m x 1.08m = 2.538 square meters (m2).
  7. Round to a more convenient measurement. If you get a long decimal as an answer, for instance 2.538 square meters, you'll probably want to round it to a number with fewer digits, for instance 2.54 square meters. In fact, since you probably didn't measure correctly down to the tiniest fraction of a meter, the last digits probably aren't accurate anyway. In most cases, you can round to the nearest centimeter (0.01m). For a more accurate measurement, learn how to round to the significant digits.
    • Whenever you multiply two numbers with the same units (for instance, meters), the answer is always in the form of that unit squared (m2, or square meters).

Converting from Other Units

  1. Multiply square feet by 0.093. Measure the length and width in feet and multiply them together to get a result in square feet. Since 1 square foot = 0.093 square meters, multiply your result by 0.093 to get the answer in square meters instead. Square meters are bigger than square feet, so it will take fewer of them to cover the same area.
    • For greater precision, multiply by 0.092903 instead.
  2. Multiply square yards by 0.84. If you have the measurement in square yards, multiply by 0.84 to get the measurement in square meters.
    • For greater precision, multiply by 0.83613 instead.
  3. Multiply acres by 4050. One acre contains about 4050 square meters. If you want to be more precise, multiply by 4046.9 instead.
  4. Convert square miles to square kilometers instead. One square mile is much, much larger than a square meter, so typically it is converted into square kilometers instead. Multiply the square miles by 2.6 to find the area in square kilometers instead. (Or multiply by 2.59 instead to be more precise.)
    • If you really want to convert to square meters, 1 square kilometer = 1,000,000 square meters.
  5. Convert square meters to units of area, not length. Square meters are a unit that measures area, or two-dimensional surfaces. It doesn't make any sense to compare them with units that measure length, or distance in one direction. You can convert between "square meters" and "square feet," but not between "square meters" and "feet."
    • Don't use the calculations in this section to convert between units of length. That requires Convert-Feet-to-Meters.

Calculating Square Meters for a Complex Shape

  1. Break the shape up into pieces. If you are solving a math problem, draw or cut lines in the shape to divide it into simpler shapes, such as rectangles and triangles. If you are measuring a room or other physical object, sketch a diagram of the area first, then do the same thing. Take measurements of each section and write them on the diagram. Follow the instructions below to find the area of each section, then add the results together.
  2. Measure rectangle shaped pieces as you would normally. To find the area in square meters for rectangular sections, see the instructions for calculating an area in square meters.
    • If you are measuring in a different unit, look at the section on other units.
  3. Measure right triangles similarly, then divide by two. A right triangle, which has a 90º angle just like the corners of a square, has an area easy to calculate. Measure the two sides next to that 90º corner (the length and width), multiply them together, then divide by two to get the answer in square meters.
    • This works because a right triangle is exactly the size of a rectangle cut in half. Basically, you found the area of a rectangle as usual, then divided by two to get the area of the triangle.
  4. Turn other triangles into right triangles, then measure them. Draw a line from any corner of a triangle to the opposite side, so that the line hits the opposite side at a 90º angle (picture the corner of a square).[1] You've just divided the triangle into two pieces, each one a right triangle! See above for instructions on how to find the area of a right triangle; measure each of the two sub-triangles separately, and add them together.
  5. Calculate the area of a circle. The area of a circle is πr2, where r is the radius, or distance from the center of the circle to the rim, or perimeter. Measure this distance, multiply it by itself, then multiply the result by π on a calculator. If you don't have a calculator with a π function, use 3.14 instead (or 3.1416 if high precision is required).
    • If you're not sure where the center is, have a friend hold a tape measure and walk around the edge of the circle. Hold the other end of the tape measure and adjust your position until the measurement stays the same while your friend walks around the entire edge.
    • More complicated curved boundaries require more advanced math to calculate. If you are measuring a room for practical purposes, it might be easier to estimate the area by pretending the curved surfaces are a series of straight lines.

Tips

  • Say "five square meters" instead of "five meters squared." These are technically both correct, but the second one is often misinterpreted to mean the area of a square five meters long and five meters wide (which actually has an area of 25 square meters, or 5 x 5).[2]
  • If you're not sure whether you calculated correctly, check that your answer is in the right ballpark with these measurements:
    • An American football field is about 5,400 square meters.
    • An association football (soccer) field ranges from 4,000 to 11,000 square meters.[3]
    • A king-size mattress is about 5 square meters.[4]

Things You'll Need

  • Ruler or tape measure
  • Calculator

Related Articles

Sources and Citations

  1. ↑ http://nemesis.lonestar.org/reference/measures/nonsquare.html
  2. ↑ http://mathforum.org/library/drmath/view/57209.html
  3. ↑ http://www.fifa.com/aboutfifa/footballdevelopment/technicalsupport/refereeing/laws-of-the-game/law/newsid=1285960.html
  4. ↑ http://www.bluebulbprojects.com/MeasureOfThings/results.php?comp=area&unit=m2&amt=5&p=1&sort=pr
Retrieved from "https://kipkis.com/index.php?title=Calculate_Square_Meters&oldid=286485"