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Trapezoidal: meaning, definitions and examples

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trapezoidal

 

[trəˈpɛ.zəˌdɑːl ]

Definition

Context #1 | Adjective

geometric shape

The term 'trapezoidal' refers to a shape or figure that has the characteristics of a trapezoid, which is a four-sided figure (quadrilateral) with at least one pair of parallel sides. In mathematics and geometry, trapezoidal forms are significant in calculating areas and volumes, especially in calculus and engineering. Trapezoidal shapes can be found in various contexts, including construction, design, and physics. They are often used in graphical representations and data analysis as well.

Synonyms

quadrilateral, trapezoid-shaped.

Examples of usage

  • The trapezoidal area of the field.
  • Trapezoidal numbers are used in mathematics.
  • The trapezoidal rule helps approximate integrals.
  • In architecture, trapezoidal windows can be aesthetically pleasing.

Interesting Facts

Geometry

  • Trapezoids are a type of quadrilateral, meaning they have four sides.
  • There are different types of trapezoids, including isosceles trapezoids, where the non-parallel sides are equal in length.
  • The area of a trapezoid can be calculated by taking the average of the lengths of the parallel sides and multiplying by the height.

Art and Design

  • Trapezoidal shapes often appear in modern architecture, giving buildings a unique and dynamic look.
  • Artists use trapezoidal forms to create depth and perspective in their work, making the viewer feel engaged with the piece.
  • Trapezoidal structures, like certain bridges, can help distribute weight more efficiently.

Mathematics Education

  • Learning about trapezoidal shapes helps students understand fundamental concepts in geometry, preparing them for more complex math.
  • Teachers often use trapezoids in activities to help illustrate area, perimeter, and the properties of quadrilaterals.
  • The trapezoidal rule is a numerical method used for estimating the area under curves and is a practical application of trapezoidal shapes.

History

  • The use of trapezoidal shapes dates back to ancient civilizations, including the Egyptians, who used geometric principles in their architecture.
  • Mathematical studies of quadrilaterals, including trapezoidal shapes, became formalized during the time of the ancient Greeks.
  • Trapezoidal forms were significant in the development of surveying techniques in the 19th century.

Engineering

  • Trapezoidal channels are often used in civil engineering for water flow management, helping to control erosion and sediment.
  • Many construction materials are designed in trapezoidal shapes for stability and aesthetic appeal in various projects.
  • Engineers utilize trapezoidal shapes in structural designs to maximize strength while minimizing material use.

Translations

Translations of the word "trapezoidal" in other languages:

🇵🇹 trapézio

🇮🇳 ट्रेपेज़ॉइडल

🇩🇪 trapezförmig

🇮🇩 trapezoidal

🇺🇦 трапецієподібний

🇵🇱 trapezoidalny

🇯🇵 台形の

🇫🇷 trapézoïdal

🇪🇸 trapezoidal

🇹🇷 trapezoidal

🇰🇷 사다리꼴의

🇸🇦 مُعَشَّق

🇨🇿 trapezoidní

🇸🇰 trapezoidný

🇨🇳 梯形的

🇸🇮 trapezoidni

🇮🇸 trapezískur

🇰🇿 трапециялық

🇬🇪 ტრაპეზოიდური

🇦🇿 trapezoidal

🇲🇽 trapezoidal

Word Frequency Rank

Positioned at #23,782, this word is part of extensive vocabulary. It's relatively rare in general usage but may be important in specific fields or formal writing.