angle at centre

简明释义

圆心角

英英释义

例句

1.The formula for calculating the angle at centre is based on the relationship between the arc length and the radius.

计算中心角的公式基于弧长与半径之间的关系。

2.The angle at centre can help determine the area of the sector formed by the two radii.

通过中心角可以帮助确定由两条半径形成的扇形的面积。

3.In a circle, the size of the angle at centre is twice that of the 中心角 subtended at the circumference.

在一个圆中，中心角的大小是圆周上所对应的angle at centre的两倍。

4.To find the angle at centre, you need to measure the arc length and the radius of the circle.

要找到中心角，你需要测量弧长和圆的半径。

5.When drawing a circle, it's important to mark the angle at centre accurately for geometric constructions.

在绘制圆时，准确标记中心角对于几何构造非常重要。

作文

In the realm of geometry, understanding various concepts is crucial for mastering the subject. One such concept is the angle at centre, which refers to the angle formed at the center of a circle by two radii that extend to the circumference. This concept is not only fundamental in geometry but also serves as a building block for more complex mathematical theories. To grasp this idea better, let us explore its definition, properties, and applications in real life.Firstly, the angle at centre plays a significant role in the study of circles. When we draw two radii from the center of a circle to any two points on its circumference, the angle formed between these two radii is what we call the angle at centre. For example, if we have a circle with center O and points A and B on the circumference, the angle ∠AOB is the angle at centre. It measures the degree of rotation needed to move from point A to point B around the center O.One of the key properties of the angle at centre is that it is always twice the size of the angle subtended at any point on the circumference of the circle. This can be expressed mathematically as: if ∠AOB is the angle at centre and ∠ACB is the angle subtended at point C on the circumference, then ∠AOB = 2 × ∠ACB. This property is fundamental in proving various theorems related to circles and is widely used in solving geometric problems.Moreover, the angle at centre has practical applications beyond theoretical mathematics. For instance, in navigation, understanding angles is essential for determining directions and plotting courses. When pilots or sailors navigate, they often rely on angles formed by their position relative to landmarks, which can be understood through the concept of angle at centre. By visualizing their position as the center of a circle, they can calculate their bearings based on the angles formed with reference points.Additionally, the angle at centre is also significant in engineering and architecture. When designing structures such as bridges or buildings, engineers must consider the angles formed by various components to ensure stability and strength. The principles of geometry, including the angle at centre, help them create safe and functional designs that can withstand various forces.In conclusion, the concept of angle at centre is vital in both theoretical and practical applications. Its definition, properties, and real-life uses illustrate the importance of mastering this geometric principle. By understanding the angle at centre, students and professionals alike can enhance their skills in mathematics, navigation, engineering, and many other fields. As we continue to explore the fascinating world of geometry, let us appreciate the significance of concepts like the angle at centre and their impact on our daily lives.

在几何学的领域中，理解各种概念对于掌握这个学科至关重要。其中一个概念是中心角，它指的是由两个半径从圆心延伸到圆周形成的角。这个概念不仅在几何学中是基础，而且还作为更复杂数学理论的构建块。为了更好地理解这一概念，让我们探讨它的定义、性质和在现实生活中的应用。首先，中心角在圆的研究中扮演着重要角色。当我们从一个圆的中心绘制两条半径到圆周上的任意两点时，形成的两个半径之间的角就是我们所称的中心角。例如，如果我们有一个圆，其中心为O，圆周上有点A和B，则角∠AOB就是中心角。它测量了从点A旋转到点B所需的旋转度数。中心角的一个关键性质是，它总是等于圆周上任何一点所对应的角的两倍。可以用数学表达为：如果∠AOB是中心角，而∠ACB是圆周上点C所对应的角，那么∠AOB = 2 × ∠ACB。这个性质在证明与圆相关的各种定理时是基础，并且在解决几何问题时被广泛使用。此外，中心角在理论数学之外还有实际应用。例如，在导航中，理解角度对确定方向和绘制航线至关重要。当飞行员或水手导航时，他们通常依赖于相对于地标形成的角度，这可以通过中心角的概念来理解。通过将他们的位置视为圆心，他们可以根据参考点形成的角度计算航向。此外，中心角在工程和建筑中也具有重要意义。在设计桥梁或建筑物等结构时，工程师必须考虑各种组件形成的角度，以确保稳定性和强度。几何学的原理，包括中心角，帮助他们创建安全且功能齐全的设计，以承受各种力量。总之，中心角的概念在理论和实际应用中都是至关重要的。它的定义、性质和现实生活中的用途展示了掌握这一几何原则的重要性。通过理解中心角，学生和专业人士都可以提升他们在数学、导航、工程等众多领域的技能。当我们继续探索几何学这个迷人的世界时，让我们欣赏像中心角这样的概念的重要性及其对我们日常生活的影响。