R is the radius of the sector, n is the degree of the central angle of the arc, π is pi, and L is the arc length corresponding to the sector.
The formula of sector area is related to shape;
1, the sector is an important figure related to the circle, and its area is related to the central angle and radius of the circle. The sector area with the central angle of n and the radius of r is n/360 * π r 2. If the vertex angle is in radians, it can be simplified as 1/2× arc length r.
2. The sector is similar to a triangle. The simplified area formula can also be regarded as: 1/2× arc length r, which is similar to the triangle area: 1/2× bottom× height. Arc length = n/360.2π r = nπ r/ 180, one side of the similar triangles of the sector arc.
3. Sector is also similar to triangle. The simplified area formula can also be regarded as: half of the product of arc length and radius, similar to the triangle area, half of the product of base and height.
4.r is the radius of the sector, n is the degree of the central angle of the arc, and π is π. You can also divide the area of the circle where the sector is located by 360 and multiply it by the angle of the central angle of the sector. S=nπR？ /360。 S=LR/2 .