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Square calculator
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examples
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.
| 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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