A circle is a simple and beautiful geometric figure. It has many unique properties and characteristics, which makes people have a strong interest in it. This manuscript will introduce the definition, properties and application fields of the circle, hoping to help you better understand the beautiful figure of the circle.

First, the definition of a circle

A circle is a set of all points on a plane equidistant from a fixed point. In mathematics, we usually use radius to describe the size of a circle. Radius is the distance from the center of the circle to any point on the circle. The circumference of a circle is the sum of the distances from all points on the circle to the center of the circle, while the area of the circle is the size of the area formed by all points in the circle.

Second, the nature of the circle

1. The diameter of a circle is the farthest distance between any two points on the circle and the shortest distance between any two points on the circle.

2. The radius of the circle is perpendicular to the tangent on the circle, which means that the included angle between the radius and the tangent is 90 degrees.

3. The formula of the circumference of a circle is C=2πr, where c represents the circumference and r represents the radius. The formula for the area of a circle is A=πr? , where a stands for area.

Third, the application field of circle

1. engineering construction: roundness is widely used in engineering construction, such as arch structure of bridge and round well pipe.

2. Geographical survey: In geographical survey, it is very common to measure circular objects, such as the diameter of celestial bodies and the radius of craters.

3. Scientific research: Circular trajectories often appear in scientific research. For example, the orbit of a planet around the sun is approximately circular.

4. Art design: Circle is one of the commonly used elements in art design, which can give people a sense of balance, harmony and warmth.

5. Daily life: There are many round objects around us, such as coins, plates and coffee cups. The design of these objects is based on the aesthetic feeling of circles.

By introducing the definition, properties and application fields of the circle, we can see that the circle, as a beautiful figure, not only has important applications in the fields of mathematics and science, but also is ubiquitous in our daily life. Therefore, when learning and appreciating the beauty of the circle, we should also be aware of its mathematical and artistic charm and further expand our horizons and thinking.