chord length

简明释义

弦长

英英释义

例句

1.The chord length of the circle is essential for calculating its area.

圆的弦长对于计算其面积至关重要。

2.The engineer calculated the chord length for the bridge design to ensure stability.

工程师计算了桥梁设计的弦长以确保稳定性。

3.In this project, we need to measure the chord length of the arc to determine the material needed.

在这个项目中，我们需要测量弦的弦长以确定所需材料。

4.The architect specified the chord length in the blueprints for the new stadium.

建筑师在新体育馆的蓝图中指定了弦长。

5.To create a perfect circle, the chord length must be accurately measured.

要创建一个完美的圆，必须准确测量弦长。

作文

Understanding the concept of chord length is essential in various fields, including mathematics, physics, and engineering. A chord is defined as a straight line segment whose endpoints both lie on the curve of a circle. The chord length refers to the distance between these two endpoints. This simple yet significant measurement plays a crucial role in many applications, such as calculating the area of a circle or determining the properties of circular objects.In geometry, the chord length can be calculated using different formulas depending on the information available. For instance, if we know the radius of the circle and the angle subtended by the chord at the center, we can use the formula: chord length = 2 * r * sin(θ/2), where r is the radius and θ is the angle in radians. This relationship highlights the connection between angles and lengths in circular geometry.Moreover, the chord length has practical implications in real-world scenarios. For example, in architecture, understanding the chord length of arches is vital for ensuring structural integrity. Engineers must calculate the correct chord length to design arches that can support weight while maintaining aesthetic appeal. Similarly, in the manufacturing industry, knowing the chord length helps in producing parts that fit together accurately, ensuring the functionality of machinery.In addition to its applications in engineering and architecture, the chord length is also relevant in sports. For example, in the design of sports equipment like basketball hoops, understanding the chord length of the rim can help optimize the game experience. A properly designed rim with the correct chord length ensures that the ball has a fair chance of going through the hoop, affecting the overall dynamics of the game.Furthermore, the chord length is significant in the field of astronomy. When studying celestial bodies, astronomers often need to calculate distances and angles related to orbits. The chord length helps in determining the paths of planets and other objects in space, allowing scientists to make predictions about their movements.To sum up, the concept of chord length is not just a theoretical idea confined to textbooks; it is a fundamental measurement that finds relevance across various disciplines. Whether it is in geometry, engineering, sports, or astronomy, understanding the chord length allows for better design, improved functionality, and enhanced performance. As we explore more complex systems and structures, the importance of mastering the concept of chord length becomes increasingly evident, making it a key topic in both education and practical applications.

理解弦长的概念在数学、物理和工程等多个领域至关重要。弦被定义为一条直线段，其两个端点都位于圆的曲线上。弦长指的是这两个端点之间的距离。这一简单而重要的测量在许多应用中发挥着关键作用，例如计算圆的面积或确定圆形物体的性质。在几何学中，弦长可以根据可用信息使用不同的公式进行计算。例如，如果我们知道圆的半径和弦在圆心处所夹的角度，我们可以使用公式：弦长 = 2 * r * sin(θ/2)，其中 r 是半径，θ 是以弧度表示的角度。这一关系突显了圆形几何中角度与长度之间的联系。此外，弦长在现实世界场景中具有实际意义。例如，在建筑学中，理解拱门的弦长对于确保结构的完整性至关重要。工程师必须计算正确的弦长以设计能够承重的拱门，同时保持美观。同样，在制造行业，了解弦长有助于生产精确契合的零件，确保机械的功能性。除了在工程和建筑中的应用外，弦长在体育领域也很相关。例如，在篮球架的设计中，理解弦长可以帮助优化比赛体验。设计得当、具有正确弦长的篮筐确保球有公平的机会穿过篮筐，从而影响比赛的整体动态。此外，弦长在天文学领域也很重要。在研究天体时，天文学家常常需要计算与轨道相关的距离和角度。弦长有助于确定行星和其他天体在太空中的路径，使科学家能够对它们的运动做出预测。总之，弦长的概念不仅仅是教科书中限制的理论概念；它是一个基本的测量，在各个学科中都有相关性。无论是在几何、工程、体育还是天文学中，理解弦长可以更好地设计、改善功能性和提升性能。随着我们探索更复杂的系统和结构，掌握弦长的概念的重要性变得愈加明显，使其成为教育和实际应用中的关键主题。