Square Calculation
Calculator and formulas for calculating the properties of a square
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'.
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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)
\(\displaystyle A = R^2 · π \)
Square • Rectangle • Golden Rectangle • Rectangle to Square • Rhombus, given varios parameter • Rhombus , given diagonal e, f • Parallelogram, given 2 sides and angle • Parallelogram area, given side and height • Trapezoid • Cyclic Quadrilateral • General Quadrilateral • Concave Quadrilateral • Arrowhead Quadrilateral • Crossed Square • Frame • Kite, given 2 diagonal and distance • Kite Area, given 2 diagonal • Half Square Kite • Right Kite"
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