^{2}

## How to find a square square if a perimeter is known!?

Task condition: Find the square area if the perimeter is known = 32cm.

## The solution of the problem - **Find Square Square: **

In order to find out the square of the square along its perimeter, we will need a calcare perimeter calculation formula:

P = 4A.

Next, we need 32 divided by 4, we will find the length of one side of the square.

And then on the Formula of the square of the square, we learn its area:

S = A² = 4² = 16cm²

Square, in which the perimeter is 32 cm, the area is equal to 16cm²

## How to find a square square if a diagonal is known!?

Problem condition: Find the square area if the square is known = 8cm.

## The solution of the problem - **Find Square Square: **

In order to find a diagonal of a square, we need to remember the formula of Pythagora:

You need to convert a bit:

A² + a² = d² -> 2a² = d² -> a² = d² / 2

And if s = a², then s = d² / 2

And then we need to substitute our diagonal:

S = 8² / 2 = 64/2 = 32cm².

If the diagonal of the square is equal to 8cm, then the square is equal to 32cm².

## What unit of measuring square square!?

After I wrote the page and the issuance of the page began, an interesting search question: " **Square area Why cm2 **".

The person, apparently, wanted to ask, where did the twice in the square of the square of the square!?

We can tell ... about what unit of measurement is measured by the square of the square and where Double come from!?

## Unit of Square Square

The unit of measuring the square of the square - maybe any measure of length in the square.

If the measure of the length centimeter, then the area will be a centimeter in a square - cm².

If the meter length measure, then the area will be a meter in a square - m².

If the length of the length is a kilometer, then the area will be a kilometer in a square - km². etc...

## Why the unit of measuring the square of the square is written with a twos

Usually in junior classes, the unit of measurement does not pay attention. But already in high schools, they pay some attention to this!

Why the unit of the square (and including the square) is denoted by a two slightly higher than the iconic expression!?

If we recall that the square of the square is the multiplied side length on itself and write a unit of measurement ... then we will see where the twin comes from ...

Let's show on the example ...

Let it be necessary to find the square of the square with a side of 12 cm.

So write in the formula:

Next, we do not remove the unit of measurement, but multiply them between themselves, here it turns out square centimeters (or another length of the length in the square):

## How to find the square of the square knowing the radius of the inscribed circle!?

Task :

How to find the square of the square knowing the radius of the inscribed circle!?

This is a very simple task!

The diameter of the inscribed circle is equal to the side of the square.

The diameter of the circle is 2r.

So the sides of the square is 2r.

Next, we remember the square of the square square - S = A², where A is the side of the square, which is equal to = 2r.

So the square square is equal to S = (2R) ²

## How to find the square of the square knowing the radius of the circle described!?

Task :

How to find the square of the square knowing the radius of the circle described!?

This task is as simple as the above described!

We have a known circle radius described around the square.

The diameter of the circle AB is equal to the diagonal of the AB square and we know that the circle diameter is equal to two radius d = 2r.

On the diagonal of the square, we have already calculated the square here -> s = d² / 2

Task Solving - Find Square:

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