Square calculator

Enter one known value and calculate the side, area, perimeter or diagonal of a square. You will get solution with step-by-step explanation.

Square Calculator

0 1 2 3 4 5 6 7 8 9 / . del

Enter known values:
side a	=
area A	=
perimeter P	=
diagonal d	=

Select value to find:

side a

area A

perimeter P

diagonal d

Show me an explanation

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examples

example 1:

Find the area of a square of diagonal $d = 12 cm$.

example 2:

Find the side of the square whose perimeter is $d = 14 cm$.

example 3:

Find the diagonal of the square whose area is $A = 18 cm^2$.

Formulas for Square

To calculate missing value in square, based on one known value, you need to remember just three formulas.

F1:

$$ P = 4 \cdot a $$

a = side

d = diagonal

A = area

P = perimeter

F2:

$$ A = a^2 $$

F3:

$$ d = a \cdot \sqrt{2} $$

The diagram at the right shows when to use each of these formulas.

Example 1:

If you are given diagonal d and you want to calculate side a, then you need to use formula which connects d and a.

Example 2:

If you are given area A and you want to calculate perimeter P then you need to make two steps to calculate perimeter. In first step you apply formula which connects area A and side a after that use formula which connects side a and perimeter P.

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