Calculate quadrilaterals
Professional online calculators for all types of quadrilateral calculations
Basic quadrilaterals
Square (A = a²)
Perfect symmetry - four equal sides and right angles
Rectangle (A = a×b)
Classic shape - parallel sides and right angles
Golden Rectangle
Harmonious proportions based on the golden ratio φ ≈ 1.618
Rectangle and Square
Comparison calculator for rectangles and squares
Parallelograms and rhombuses
Parallelogram (A = a×h)
Calculation from given sides and angles
Parallelogram Area
Area calculation from side and height
Rhombus (Diamond) (A = a×h)
Equal-sided parallelogram with four equal sides
Rhombus Area (A = ½×e×f)
Area calculation from diagonals e and f
Kite quadrilaterals
Kite (A = ½×e×f)
Symmetric quadrilateral with two pairs of equal adjacent sides
Kite Area
Area calculation from diagonals e and f
Half-Square Kite
Special kite quadrilateral formed from half a square
Right Kite
Kite quadrilateral with at least one right angle
Special and complex quadrilaterals
General Quadrilateral
Arbitrary quadrilateral with four different sides
Cyclic Quadrilateral
Quadrilateral inscribed in a circle - Ptolemy's theorem
Concave Quadrilateral
Non-convex quadrilateral with inward-pointing vertex
Arrowhead Quadrilateral
Arrow-shaped quadrilateral for navigation and design
Crossed Square
Self-intersecting quadrilateral with crossing geometry
Frame
Rectangular frame - inner and outer area
Trapezoids
Collection of trapezoid calculators and formulas
About Quadrilateral Geometry
Quadrilateral geometry forms a fundamental foundation of mathematics and finds practical application in:
- Architecture - Building design, floor plans
- Engineering - Structural calculations
- Computer Graphics - 2D rendering
- Surveying - Land measurement
- Manufacturing - Design optimization
- Education - Geometry learning
Fundamental Quadrilateral Formulas
Basic Shapes
Square: A = a²
Rectangle: A = a×b
Rectangle: A = a×b
Parallelograms
Area: A = a×h
Rhombus: A = ½×e×f
Rhombus: A = ½×e×f
Kite
Area: A = ½×e×f
Perimeter: P = 2(a+b)
Perimeter: P = 2(a+b)
Trapezoid
Area: A = ½×(a+c)×h
Perimeter: P = a+b+c+d
Perimeter: P = a+b+c+d
Tip: Quadrilaterals are four-sided polygons with angles that sum to 360°.
They form the basis for many practical applications in engineering and design.
Practical Application Examples
Architecture & Construction
- Floor Plans: Room area calculations
- Windows: Rectangular openings
- Tiles: Square and rectangular patterns
Engineering & Design
- Structural Elements: Beam cross-sections
- Machine Parts: Geometric tolerances
- CAD Design: 2D sketching
Manufacturing & Production
- Sheet Metal: Cutting optimization
- Packaging: Box design
- Textiles: Pattern layout
Education & Research
- Geometry Classes: Learning shapes
- Mathematical Proofs: Theorem verification
- Problem Solving: Real-world applications
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Quick Reference
a²
Square Area
a×b
Rectangle
a×h
Parallelogram
½×e×f
Kite/Rhombus
∑ angles = 360°
Angle Sum Property
Properties
Convex Quadrilaterals: All interior angles < 180°
Diagonal Properties: Parallelograms have bisecting diagonals
Classification: Based on sides, angles, and symmetry
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