SquareVEXQOMIRA / GEOMETRY 06
Square Vexqomira

Formulas, without the guesswork.

Choose a relationship from the measurements you know. The variable names below belong to each calculator; a letter can have a different role in another method. π is evaluated using the browser’s full numerical constant, rather than replacing it with 3.14.

From the side

A = a²; P = 4a; d = a√2

Inputs: Side a (length units).

Apply this formula ↗

From area

a = √A

Inputs: Area A (square units).

Apply this formula ↗

From the diagonal

a = d/√2

Inputs: Diagonal d (length units).

Apply this formula ↗

From perimeter

a = P/4

Inputs: Perimeter P (length units).

Apply this formula ↗

Reading the notation

√ means a square root, ∛ means a cube root, and a superscript ² or ³ means a square or cube. Sine, cosine and tangent use angles converted from entered degrees. Where an inverse trigonometric function is used, its displayed angle is converted back to degrees. The ellipse perimeter is approximate; other formula labels describe the ideal mathematical model.

A diagonal is longer than a side. Square units describe area; a number in cm² must not be interpreted as cm.

Reference reading: Square at Wolfram MathWorld.