Square calculator

Input any value of a square and select what to find.
The calculator provides a step-by-step guide on how to find the missing value. Calculator works with decimal numbers, fractions and square roots.
show help ↓↓ examples ↓↓
The missing value:
Type a value in one of the text boxes
calculator works with decimals, fractions and square roots (to input $ \color{blue}{\sqrt{2}} $ type $\color{blue}{\text{r2}} $)
side $ a $
area $ A $
perim. $ P $
diag. $ d $
radius. $ R $
radius $ r $
example 1:ex 1:
Find the area of a square of diagonal $d = 12 cm$.
example 2:ex 2:
Find the side of the square whose perimeter is $d = 14 cm$.
example 3:ex 3:
Find the diagonal of the square whose area is $A = 18 cm^2$.

Formulas for Square

You just need to learn three formulas to calculate the missing value in a square based on one known value.

square diagram
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 on 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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