Question

How do you convert `19.87 km^2` to `m^2`?

Answer 1

`19.87` `km^2` is `19,870,000` `m^2`..

Explanation:

One kilometer has `1000` meters. Hence as one kilometer square has one kilometer length and one kilometer width, it has dimension of `1,000` meter by `1,000` meters.

And hence it will form `1,000×1,000=1,000,000` squares of dimension `1` meter by `1` meter. Hence, there are `1,000,000` square meters in each kilometer square.

Therefore in `19.87` `km^2`, we will have `19.87×1,000,000=19,870,000` square meters.

Answer 2

The conversion factor for area in the Metric system is 100

`19.87Km^2 rarr xx100 rarr xx100 rarr xx100 = 19,870,000 m^2`

Explanation:

The units of the length on the metric system are

`Km" "Hm" "Dm" "m" "dm" "cm" "mm`

To convert to the next smaller unit, multiply by `10`
`rarr xx10 rarr xx10 rarr xx10 ....`

To convert to the next bigger unit divide by `10`

`" ...larr div10 larr div 10 larr div 10`
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However!! when you are converting with units of area , they are 2-dimensional, so the conversion is 100 each time.

`Km^2" "Hm^2" "Dm^2" "m^2" "dm^2" "cm^2" "mm^2`

To convert to the next smaller unit, multiply by `100`
`rarr xx100 rarr xx100 rarr xx100 ....`

To convert to the next bigger unit divide by `100`

`" ...larr div100 larr div 100 larr div 100`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
For units of Volume , the conversion factor is 1000.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`19.87Km^2 rarr xx100 rarr xx100 rarr xx100 = 19,870,000 m^2`
`color(white)(xxxxxxxxxxxxx)Ha color(white)(xxxxx)Dm^2color(white)(xxxx)m^2`

`19.87Km^2 xx 100^3 = 19.87Km^2xx 1000^2 = 19.87Km^2 xx 10^6`

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Note that `Hm^2` are called Hectares (Ha)