Area and perimeter of a square

Name: Area and perimeter of a square
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The edges of a square are the same length; the neighbouring ones form a right angle.
The diagonals are equally long; they halve one another and are perpendicular.

Calculator

a =

d =

R =

r =

A =

P =

Round to decimal place

area

$$ A = a \cdot a = a^2 $$

perimeter

$$ P = 4 \cdot a $$

diagonal

$$ d = \sqrt{a^2 + a^2} = a\sqrt{2} $$

circumcircle (radius)

$$ R = \frac{d}{2} = \frac{a}{\sqrt{2}} $$

incircle (radius)

$$ r = \frac{a}{2} $$