Use this converter to find equivalent values between 2 imperial units of area, the square yard ($yd^2$) and the cent (ct).
First, choose the spelling you would like to be applied throughout the converter. The choice is between the American and the British spelling.
Move to the ‘CONVERT FROM’ section, where you choose your input unit (which is the unit the value you are trying to convert comes in). The choice is between square yards and cents.
Your output unit (the unit in which you want your converted result) can be selected in the ‘CONVERT TO’ section, where the choice is between the same 2 units as before.
An alternative way to select the units is to stick with the default settings or to swap them using the icon with 2 arrows headed in opposite directions.
The ‘VALUE TO CONVERT’ section is dedicated to writing the input value you want to convert as a decimal number using the decimal dot.
Choose the number of decimal places you want your result rounded toward and then click on ‘CONVERT’, to start the conversion.
Your result will appear below the converter as a decimal number rounded to your desired number of decimal places. Alongside your result, you will also receive the conversion rate between the input and output units, as well as a convenient ‘COPY’ icon which allows you to easily copy the result.
If we decide to convert between the 2 units without using the converter, we should establish conversion formulae.
To do that, we will need to find the conversion rates between square yards and cents. Conversion rates are ratios that express how many units of a certain kind we need to get an equivalent value to 1 unit of another kind.
Based on definitions, the following two conversion rates can be established.
The conversion rates can help us create the 2 formulae needed for converting between the two units. We always aim toward creating a formula where one unit is the subject (meaning a standalone variable on one side of the equation). We can then simply choose the equation where the subject is the same as the output unit. This will yield the easiest calculations.
Let’s look at 2 examples to demonstrate how the formulae can be used in practice.
EXAMPLE 1: A parking lot has an area of 32 cents. What is the area of this parking lot in square yards?
This problem has cents as the input unit. That makes the first formula a good choice for solving this problem. We write down the first formula, substitute 32 for CT, and count as follows.
EXAMPLE 2: What is the area in cents of a property that has an area of 2,385 $yd^2$?
As we can see, the output of this problem is in cents, making the second formula suitable for solving the problem. We substitute 2,385 as $YD^2$ and count as follows.
The conversion rate between cents and square yards is defined by the number 48.4. If we are trying to approximate the conversion, we are looking for a number that is close to 48.4, while providing some easy trick to multiply or divide with the said number.
One such number is 50, which is fairly close to 48.4.
Multiplying by 50 is essentially the same as multiplying by 100 (which involves moving the decimal dot 2 places to the right, while filling up any missing digits with a zero) and then dividing by 2.
Alternatively, dividing by 50 is the same as dividing by 100 (which involves moving the decimal dot 2 positions to the left and filling any missing positions with a zero) and then multiplying the value by 2.
Let’s look at 2 simple examples.
EXAMPLE 1: Approximate the value of 2.4 cents in square yards.
This problem involves multiplying 2.4 by 50 (because we are approximating). Hence we first multiply 2.4 by 100. Moving the decimal dot 2 positions to the right yields 240. Now we divide it by 2 and get an approximation of 120 square yards. Compared to the accurate result of the converter, which is 116.16, we confirm that this works well as an approximation.
EXAMPLE 2: Approximate the value of 300 square yards in cents.
This problem involves dividing 300 by 50. We start by dividing 300 by 100, which is 3. Then we multiply 3 by 2 and get 6 cents. Compared to the result from the converter, which is around 6.2, we see that this approximation is also reasonably good.
Cent is a fairly unusual unit of area. We discussed the history of it in other converters involving the unit.
The question might remain of how exactly the relationship of 1 cent being 48.4 square yards was developed.
We start with the most recent definition of the cent being 1/100 of an acre.
The most recent definition of an acre is 4,840 square yards.
Hence it is not hard to see, that a hundredth of 4,840 is indeed 48.4.
Despite it being a fairly unusual unit of area, it still finds its usage in some parts of the world, mainly the south of India.
Some other rarely used (but still valid) units of area from the imperial system are perches (defined as 30.25 square yards) and roods (defined as 1,210 square yards).
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