The angle in a circle sector is called the "central angle." This angle is formed at the center of the circle and subtends the arc of the sector. It is measured in degrees or radians and determines the size of the sector.
central angle A sector
There is no specific formula for a sector of a circle. There is a formula for its angle (at the centre), its perimeter, its area.
Area of a sector of a circle.
In a unit circle, the arc length ( s ) is directly equal to the angle ( \theta ) in radians. Therefore, if the arc length of a sector is 3 radians, the measure of the angle of the sector is also 3 radians.
Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].
Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o
central angle A sector
Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].
There is no specific formula for a sector of a circle. There is a formula for its angle (at the centre), its perimeter, its area.
Area of a sector of a circle.
The area of the circle is(17,640)/(the number of degrees in the central angle of the sector)
If the sector of a circle has a central angle of 50 and an area of 605 cm2, the radius is: 37.24 cm
The area of the sector of the circle formed by the central angle is: 37.7 square units.
In a unit circle, the arc length ( s ) is directly equal to the angle ( \theta ) in radians. Therefore, if the arc length of a sector is 3 radians, the measure of the angle of the sector is also 3 radians.
Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)
Multiply ( pi R2 ) by [ (angle included in the sector) / 360 ].
The area of the sector is: 221.2 cm2