circular arc

简明释义

圆弧

英英释义

A circular arc is a segment of a circle defined by two endpoints on the circumference and the continuous curve between them.

圆弧是由圆周上的两个端点及其之间的连续曲线定义的一个圆的部分。

例句

1.During the art class, we practiced drawing a perfect circular arc to create a stunning landscape.

在美术课上,我们练习绘制完美的圆弧以创造一个惊艳的风景。

2.The path around the lake is designed with a circular arc that provides a scenic view of the water.

环绕湖泊的小路设计了一个带有圆弧的路线,提供了水面的美丽景色。

3.The roller coaster features a thrilling drop followed by a smooth circular arc that keeps riders excited.

过山车有一个刺激的下坡,后面是一个平滑的圆弧,让乘客兴奋不已。

4.The architect designed a beautiful bridge with a prominent circular arc that enhances its aesthetic appeal.

建筑师设计了一座美丽的桥,具有突出的圆弧,增强了其美学吸引力。

5.In geometry class, we learned how to calculate the length of a circular arc using the radius and angle.

在几何课上,我们学习了如何使用半径和角度计算圆弧的长度。

作文

In the study of geometry, one of the fundamental concepts that students encounter is the idea of a circular arc. A circular arc is defined as a portion of the circumference of a circle. It represents a segment of the circle that is bounded by two points on the circle itself. Understanding circular arcs is crucial for various applications in mathematics, engineering, and even art. To visualize a circular arc, imagine drawing a circle with a compass. The entire circle consists of 360 degrees, but if we only take a small section of it, we have a circular arc. For instance, if we draw a line from the center of the circle to two points on its boundary, the path traced between these two points along the curve of the circle is the circular arc. The length of a circular arc can be calculated using the formula: L = r * θ, where L is the length of the arc, r is the radius of the circle, and θ is the angle in radians subtended by the arc at the center of the circle. This formula shows how the size of the circular arc is directly proportional to both the radius of the circle and the angle. In practical applications, circular arcs are found in many areas. For example, in architecture, they are used in the design of arches and domes. The graceful curves of a bridge often incorporate circular arcs in their design to ensure smooth operation. Moreover, artists often use circular arcs in their work to create harmonious compositions. When drawing or painting, the gentle curves of a circular arc can lead the viewer's eye around the artwork, creating a sense of movement and flow. This principle can be seen in various forms of art, from classical sculptures to modern graphic design. Additionally, the concept of a circular arc extends beyond pure mathematics. In nature, many phenomena exhibit circular arcs. For instance, the paths of planets around the sun can be approximated by circular arcs, demonstrating the connection between geometry and the physical world. In conclusion, the circular arc is an essential element of geometry that finds relevance in multiple fields. Whether in mathematics, engineering, art, or nature, understanding the properties and applications of circular arcs enriches our comprehension of the world around us. As students and professionals alike continue to explore these concepts, the significance of circular arcs will undoubtedly remain a vital part of our learning journey.

在几何学的研究中,学生们遇到的基本概念之一就是圆弧的概念。圆弧被定义为圆周的一部分。它代表了一个由圆上两个点所界定的圆的段。理解圆弧对于数学、工程甚至艺术的各种应用至关重要。为了可视化圆弧,想象一下用圆规画一个圆。整个圆由360度组成,但如果我们只取其中的一小部分,我们就得到了一个圆弧。例如,如果我们从圆心绘制一条线到圆边上的两个点,那么沿着圆的曲线在这两个点之间描绘的路径就是圆弧圆弧的长度可以使用以下公式计算:L = r * θ,其中L是弧长,r是圆的半径,θ是以弧度表示的圆心角。这个公式表明,圆弧的大小与圆的半径和角度成正比。在实际应用中,圆弧在许多领域中都能找到。例如,在建筑中,它们用于拱门和穹顶的设计。桥梁的优美曲线通常包含圆弧,以确保结构的完整性,同时也提供美学吸引力。同样,在机械工程中,齿轮和轮子在设计中经常利用圆弧以确保平稳操作。此外,艺术家在创作中常常使用圆弧来创造和谐的构图。当绘画或作画时,圆弧的柔和曲线可以引导观众的目光环绕作品,从而创造出一种运动感和流动感。这一原则在各种艺术形式中都可以看到,从古典雕塑到现代平面设计。此外,圆弧的概念超越了纯粹的数学。在自然界中,许多现象表现出圆弧的特征。例如,行星围绕太阳的轨迹可以用圆弧来近似,展示了几何学与物理世界之间的联系。总之,圆弧是几何学的重要元素,在多个领域中都有相关性。无论是在数学、工程、艺术还是自然中,理解圆弧的属性和应用丰富了我们对周围世界的理解。随着学生和专业人士继续探索这些概念,圆弧的重要性无疑将继续成为我们学习旅程中的一个重要部分。

相关单词

circular

circular详解:怎么读、什么意思、用法

arc

arc详解:怎么读、什么意思、用法