Square Calculation

The online calculator calculates the side length, the diagonal, the perimeter and the area of a square. Select the parameter that you know and enter its value. Then click on 'Calculate'.

Calculate the square  Input Delete Entries Side length Diagonal Perimeter Area Decimal places 0 1 2 3 4 6 8 10  Results Side length Diagonal Perimeter Area Incircle radius Incircle area Circumcircle radius Circumcircle area

Description

In geometry, a square is a special polygon. It has the following properties:

• It has four equal sides and four right angles.
• The diagonals are equal and bisect each other.
• The intersection of the diagonals is the center of the circumference and the incircle.
• The area of the circumference is twice as large as that of the incircle.
• It has four axes of symmetry with the two perpendicular bisectors and the two diagonals.

Formeln

Area (A)

\(\displaystyle A = a · a\)

Perimeter (P)

\(\displaystyle P = 4 · a\)

Diagonal (d)

\(d = \sqrt{2} · a \)

Side length (a)

\(\displaystyle a =\frac{d}{\sqrt{2}}\)        \(\displaystyle a =\frac{U}{4}\)        \(\displaystyle a =\sqrt{A}\)

Incircle radius (r)

\(\displaystyle r = \frac{a}{2} \)

Incircle area (A)

\(\displaystyle A = r^2 · π \)

Circumcircle radius (R)

\(\displaystyle R = \frac{d}{2} \)

Circumcircle area (A)

\(\displaystyle A = R^2 · π \)