annular region
简明释义
环形区域;
英英释义
An annular region refers to a ring-shaped area or space that is bounded by two concentric circles or surfaces, typically characterized by its hollow center. | 环形区域是指由两个同心圆或表面界定的环状区域或空间,通常以其中空的中心为特征。 |
例句
1.The annular region of the tire must be properly inflated for optimal performance.
轮胎的环形区域必须正确充气,以获得最佳性能。
2.During the solar eclipse, the annular region allowed viewers to see the sun's corona.
在日食期间,环形区域让观众得以看到太阳的日冕。
3.The scientist discovered that the annular region of the galaxy contained a high concentration of dark matter.
科学家发现银河系的环形区域含有高浓度的暗物质。
4.In astronomy, the annular region around a star can indicate the presence of orbiting planets.
在天文学中,星星周围的环形区域可以指示存在轨道行星。
5.The researchers focused on the properties of the annular region in the experiment to understand its thermal conductivity.
研究人员专注于实验中环形区域的特性,以了解其热导率。
作文
In the study of geometry and topology, the concept of an annular region is quite significant. An annular region refers to a two-dimensional shape that resembles a ring, formed between two concentric circles. This area is characterized by its unique properties, which distinguish it from other geometric shapes. The outer circle defines the boundary of the annular region, while the inner circle creates the space that is not included in this area. Understanding the properties of this shape can have various practical applications in fields such as engineering, architecture, and even art.One of the most interesting aspects of an annular region is its ability to illustrate concepts of area and perimeter. To calculate the area of an annular region, one must subtract the area of the inner circle from the area of the outer circle. The formula for the area of a circle is πr², where r is the radius. Therefore, if we denote the radius of the outer circle as R and the radius of the inner circle as r, the area of the annular region can be expressed mathematically as A = πR² - πr², which simplifies to A = π(R² - r²). This formula shows how the area of the annular region is dependent on the difference of the squares of the radii, highlighting the importance of both dimensions.Moreover, the annular region has practical implications in various real-world scenarios. For instance, in mechanical engineering, components such as gaskets and seals often have an annular region shape. These components are designed to fit between two surfaces, preventing leaks and ensuring efficient operation. Similarly, in civil engineering, the design of certain structures may incorporate annular regions to distribute weight evenly or to create aesthetic appeal. The versatility of this shape makes it a fundamental element in many designs.In addition, the annular region can also be observed in nature. For example, the rings of Saturn are a magnificent display of an annular region in a cosmic context. These rings consist of countless particles that orbit around the planet, forming a beautiful and intricate structure. The study of such natural phenomena can lead to a deeper understanding of physics and astronomy, showcasing how the annular region is not just a theoretical construct but a tangible aspect of our universe.Furthermore, in the realm of art, the annular region can be used creatively to symbolize cycles, continuity, and eternity. Artists often employ circular motifs to convey these themes, and the annular region serves as a perfect representation. By incorporating this shape into their work, artists can evoke emotions and provoke thought, inviting viewers to explore the deeper meanings behind their creations.In conclusion, the annular region is a fascinating geometric concept with far-reaching implications across various disciplines. Its unique properties allow for practical applications in engineering, architectural design, and artistic expression. By understanding the significance of the annular region, we can appreciate its role in both the natural world and human creativity. As we continue to explore this shape, we uncover new insights that enhance our comprehension of geometry and its relevance in our lives.
在几何和拓扑学的研究中,“环状区域”的概念非常重要。“环状区域”指的是一种类似于环的二维形状,它是由两个同心圆之间形成的。这个区域的特点在于它独特的属性,使其与其他几何形状区分开来。外圆定义了“环状区域”的边界,而内圆则创建了不包含在该区域内的空间。理解这种形状的性质在工程、建筑甚至艺术等领域具有多种实际应用。“环状区域”最有趣的方面之一是它能够说明面积和周长的概念。要计算“环状区域”的面积,必须从外圆的面积中减去内圆的面积。圆的面积公式为πr²,其中r是半径。因此,如果我们将外圆的半径表示为R,内圆的半径表示为r,则“环状区域”的面积可以用数学表达为A = πR² - πr²,这简化为A = π(R² - r²)。这个公式展示了“环状区域”的面积如何依赖于半径平方的差异,突显了两个维度的重要性。此外,“环状区域”在各种现实世界场景中也具有实际意义。例如,在机械工程中,垫圈和密封件等组件通常具有“环状区域”的形状。这些组件旨在适合于两个表面之间,防止泄漏并确保高效运行。同样,在土木工程中,某些结构的设计可能会结合“环状区域”以均匀分配重量或创造美学吸引力。这种形状的多功能性使其成为许多设计中的基本元素。此外,“环状区域”也可以在自然界中观察到。例如,土星的环是一个在宇宙背景下展示“环状区域”的壮丽景象。这些环由无数粒子组成,它们围绕行星轨道运行,形成美丽而复杂的结构。对这些自然现象的研究可以加深我们对物理学和天文学的理解,展示了“环状区域”不仅仅是一个理论构造,而是我们宇宙中的一个可触及的方面。此外,在艺术领域,“环状区域”可以被创造性地用于象征循环、连续性和永恒。艺术家们常常采用圆形图案来传达这些主题,而“环状区域”则是完美的表现。通过将这种形状融入他们的作品,艺术家可以唤起情感并引发思考,邀请观众探索他们创作背后的更深层次的意义。总之,“环状区域”是一个迷人的几何概念,在各个学科中具有深远的影响。它独特的属性允许在工程、建筑设计和艺术表达中进行实际应用。通过理解“环状区域”的重要性,我们可以欣赏它在自然界和人类创造力中的角色。随着我们继续探索这种形状,我们发现新的见解,增强了我们对几何及其在生活中相关性的理解。
相关单词