2024年4月20日发(作者：)

cdr扇形计算面积

English Answer:

Sector Area of a Circle.

In geometry, a sector of a circle is a region bounded

by two radii and the intercepted arc of the circle. The

area of a sector can be calculated using the following

formula:

Area = (θ/360) πr²。

where:

θ is the angle of the sector in degrees.

r is the radius of the circle.

Example:

Find the area of a sector of a circle with a radius of

5 cm and an angle of 60 degrees.

Area = (60/360) π 5²。

= (1/6) 25π。

= (5/3)π。

≈ 5.24 cm²。

Proof:

The area of a circle is given by the formula:

Area = πr²。

Since the sector is a fraction of the circle, its area

will be a fraction of the circle's area. The fraction of

the circle that the sector represents is equal to the angle

of the sector divided by 360 degrees. Therefore, the area

of the sector can be calculated as: