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.
To find the area of a shaded sector in a circle, you need the radius and the angle of the sector. Assuming the radius of the circle is 18 cm, the area of the entire circle is given by the formula (A = \pi r^2), which equals approximately (1017.88 , \text{cm}^2). If you know the angle of the sector in degrees, you can calculate the area of the sector using the formula (A_{sector} = \frac{\theta}{360} \times A_{circle}), where (\theta) is the angle of the sector. Without the angle, I cannot provide the exact area of the shaded sector.
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.
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