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1.
Diagonal of a square
$d=a\sqrt{2}$
2.
Circumscribed radius of a square
$R=\dfrac{d}{2}$
3.
Circumscribed radius of a square
$R=\dfrac{a\sqrt{2}}{2}$
4.
Incircle radius of a square
$r=\dfrac{a}{2}$
5.
Perimeter of a square
$P=4a$
6.
Area of a square
$A = a^2$