Understanding the meaning of “diagonal” is crucial in various fields, from mathematics and geometry to everyday conversations about directions or screen sizes. This article will delve into the different meanings and applications of “diagonal” in Hindi, providing clear explanations and practical examples to solidify your understanding.
Understanding “Diagonal” in Different Contexts
The term “diagonal” refers to a line segment connecting two non-adjacent vertices of a polygon or polyhedron. In simpler terms, it’s a line that goes slantwise across a shape. In Hindi, the most common translation for “diagonal” is “विकर्ण” (vikarn). However, depending on the context, other terms like “तिर्यक” (tiryak – oblique) or “तिरछा” (tirchha – slanting) might be used.
For instance, when discussing the diagonal of a square or rectangle, “विकर्ण” (vikarn) is the most appropriate term. Think of the screen size of your television; it’s measured diagonally. In this context, you would use “विकर्ण” (vikarn) to describe the measurement.
Diagonal in Geometry and Mathematics
In geometry, the diagonal plays a vital role in calculating areas and perimeters of various shapes. The Pythagorean theorem, for example, relies on understanding the relationship between the sides and the diagonal of a right-angled triangle. Knowing the “विकर्ण” (vikarn) of a rectangle allows you to calculate its area using specific formulas.
Diagonal in Everyday Language
Beyond geometry, “diagonal” can also describe directions or movements. Imagine crossing a street at an angle instead of walking straight across; you’re essentially moving diagonally. In such cases, words like “तिर्यक” (tiryak) or “तिरछा” (tirchha) might be more suitable than “विकर्ण” (vikarn). For example, you could say “मैं सड़क के तिरछे पार गया” (main sadak ke tirchhe paar gaya) – I crossed the street diagonally.
Diagonal Measurement and Calculations
Calculating the diagonal often involves mathematical formulas. For a rectangle, the diagonal can be calculated using the Pythagorean theorem: d = √(l² + w²), where ‘d’ is the diagonal, ‘l’ is the length, and ‘w’ is the width. Understanding these calculations is essential in various fields, including construction, engineering, and design.
How to Use “Diagonal” Correctly in Hindi
Choosing the right Hindi word for “diagonal” depends heavily on the context. For mathematical and geometrical discussions, “विकर्ण” (vikarn) is preferred. For describing directions or positions, “तिर्यक” (tiryak) or “तिरछा” (tirchha) might be more appropriate. Paying attention to the specific situation will ensure you use the correct terminology.
Conclusion
This article has explored the meaning of “diagonal” in Hindi, covering its various applications and providing examples for better understanding. Whether you’re solving geometry problems or simply describing a slanting path, knowing the correct Hindi terminology will enhance your communication and understanding. Remember to choose between “विकर्ण” (vikarn), “तिर्यक” (tiryak), and “तिरछा” (tirchha) based on the context to convey your message accurately.
FAQ
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What is the most common Hindi word for “diagonal”? The most common Hindi word for “diagonal” is “विकर्ण” (vikarn).
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When should I use “तिर्यक” (tiryak) or “तिरछा” (tirchha) instead of “विकर्ण” (vikarn)? Use “तिर्यक” (tiryak) or “तिरछा” (tirchha) when describing directions, positions, or general slanting objects, rather than specific geometric diagonals.
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How do I calculate the diagonal of a rectangle? The diagonal of a rectangle can be calculated using the formula d = √(l² + w²), where ‘d’ represents the diagonal, ‘l’ represents the length, and ‘w’ represents the width.
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What is the significance of the diagonal in geometry? The diagonal is crucial in geometry for calculating areas, perimeters, and understanding relationships between different parts of shapes.
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Is “diagonal” always translated as “विकर्ण” (vikarn) in Hindi? While “विकर्ण” (vikarn) is the most common translation, “तिर्यक” (tiryak) or “तिरछा” (tirchha) can also be used depending on the context.
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Can you provide an example of using “diagonal” in a sentence in Hindi? “टेलीविजन का विकर्ण 50 इंच है” (television ka vikarn 50 inch hai) – The diagonal of the television is 50 inches.
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Where can I learn more about geometrical concepts in Hindi? You can explore various online resources and educational materials available in Hindi to further your understanding of geometric concepts.
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