It is known that the radius of the sector is 10 cm and the central angle is 60 degrees. Find the area of the sector.

In order to solve this problem, we need to master the formula for calculating the sector area. According to mathematical knowledge, the area formula of the sector is:

A = 1/2 × r？ × θ

A represents the area of the sector, r represents the radius of the sector, and θ represents the central angle of the sector.

According to the data given in the title, we substitute the radius r= 10 cm and the central angle θ=60 degrees into the formula and get: A = 1/2 × 10? × 60

In order to calculate the area, we need to convert the angle into radians. According to the conversion formula of angle and radian, 1 degree is equal to π/ 180 radian. So 60 degrees is equal to 60 × π/ 180 radians. Substitute this value into the formula to get: A = 1/2 × 10? × 60 × π/ 180

Calculated, the area of this sector is: a ≈15.7cm2.

The area of this part is about 15.7 cm2. The solution to this problem is simple and easy to understand, which fully embodies the beauty of simplicity in mathematics. In practical application, the formula for calculating the sector area is also widely used, for example, in the fields of mechanics and optics in physics, and in the fields of architecture and machinery in engineering.

Through this topic, we not only consolidated the calculation method of sector area, but also stimulated our interest in learning mathematics. As a basic subject, mathematics is self-evident. Mastering mathematics knowledge is of great significance for us to solve practical problems and cultivate logical thinking ability. In the future study and work, we should constantly improve our mathematics literacy and make contributions to the prosperity and development of the country.

This fan-shaped math problem is both interesting and practical. By solving this kind of problems, we can constantly improve our mathematical ability and lay a solid foundation for future scientific research and engineering application. Let's study hard together and explore the infinite charm of mathematics!

Calculation formula of sector area:

Sector area = (sector arc length × radius) /2.

The arc length of the sector is the arc length corresponding to the central angle of the sector (usually marked as S).

The radius is the radius of the sector (usually denoted as r).