Formula of arc length and area of sector

The formula of arc length and area of the sector is as follows:

1, the arc length formula of the sector: L=nπr/ 180, where n is the central angle of the sector and r is the radius of the circle where the sector is located.

2. The area formula of the sector: S=nπr? /360。

Knowledge expansion

A sector is a plane figure and a part of a circle. In a circle, with a straight line as the boundary, the circle is divided into two parts, one of which is a sector. The vertex of the sector is called the center or vertex of the sector, and the two rays drawn from the vertex are called the radius of the sector. The area of a sector can be calculated by dividing the area of a circle by 360 degrees.

Sector has a wide range of applications in life. For example, in a fan, the shape of the fan enables the fan to generate strong wind power; In architecture, the sector is used to design various beautiful architectural shapes; In nature, leaves and flowers of some plants are also fan-shaped.

In addition to practical aspects, this department also has aesthetic value. Fan is an aesthetic figure, which is often used in decoration and artistic creation. In the traditional culture of China, this industry has also been endowed with special cultural significance. For example, in Chinese painting, fan-shaped is a common form of composition. Dividing the picture into several sectors can create a beautiful and harmonious artistic effect.

In addition to graphics and aesthetics, the department is also widely used in the field of mathematics. A sector is a part of a circle, which is a very important concept in mathematics. Various attributes of a sector, such as area, perimeter and central angle, can be described and calculated by mathematical formulas.

These formulas are not only useful in mathematics, but also widely used in science fields such as physics and engineering.

Generally speaking, the sector is a very useful figure, which is not only widely used in life and art, but also plays an important role in the fields of mathematics and science. By understanding the nature and calculation method of the sector, we can better understand and apply it, thus solving various problems.