Square Meters and Cents Converter

Using the Square Meters and Cents Converter

This converter allows finding equivalent values between a typical metric unit of area (the square meter) and a fairly unusual imperial unit of area (the cent).

The steps to using this converter are as follows:

1. Start by choosing between the American or the British way of spelling the word meter (spelled ‘metre’ in the British way).
2. Choose your input unit in the ‘CONVERT FROM’ section out of the 2 options, square meters ($m^2$) or cents (ct).
3. The same 2 choices are offered when choosing the output unit in the ‘CONVERT TO’ section.
4. Instead of choosing each unit separately, you can just go with the default settings, or swap the units around by clicking on the icon with the 2 arrows headed in opposite directions. 
5. Type in the value of your input as a decimal number into the ‘VALUE TO CONVERT’ section of the converter. 
6. Choose the number of decimal places you would like your result rounded toward. 
7. Click on ‘CONVERT’.

You will receive your result as a decimal number in the output unit of your choosing. Additionally, you will also receive the conversion rate between the input and output unit, alongside a convenient ‘COPY’ icon next to your result.

Converting Square Meters and Cents Manually

The relationship between square meters and cents is determined by their conversion rate. The values of the rates themselves need to be rounded to a convenient number of decimal places, as the relationships between imperial (cent) and metric (square meter) units are rarely neat because their definitions come from very different origins. 

• 1 cent is equivalent to approximately 40.47 $m^2$. This means that the conversion rate of cents to square meters is 1:40.47 or 100:4,047.
• 1 square meter is equivalent to approximately 0.025 cents. This means that their conversion rate is 1:0.025, or 1,000:25, which simplifies to 40:1. 

The conversion rates between these two units lead to formulae we can use when converting manually.

The usage of these formulae is demonstrated in the 2 examples below.

EXAMPLE 1: A farm lies on a property that has an area of 75 cents. How many square meters does the farm have?

Since we have cents as the input and square meters as the output, the first formula is more suitable, as we can solve the problem in one step by substituting 75 for cents and multiplying.

EXAMPLE 2: What is the equivalent area in cents to the area of 12,482 $m^2$? Round your answer to 2 decimal places. 

For this problem, we will use the second formula, as it offers the smoothest calculation of the result due to the fact that our output unit (cents) is the subject of the formula. We substitute 12,482 instead of $m^2$ and count as follows.

The result is already rounded toward 2 decimal places, hence no further rounding is needed. 

Equivalent Values of a Cent

The cent is a fairly unusual unit of area. It is primarily defined as a hundredth of an acre (the origin of the word comes from the Latin word ‘centi’ meaning a hundred or a hundredth, depending on the context).

The usage of this unit is limited to some parts of India, more specifically Andhra Pradesh, Telangana, Kerala, Tamil Nadu, and Karnataka.

The equivalences to the cent in other units are summed up in the table below, in order to gain some perspective on the unit.

References:

https://en.wikipedia.org/wiki/Cent_(area)