Define Sector of a Circle

In geometry, Sector of a circle is defined as the area which is covered by two radii and an arc of a circle where arc is the smaller part of the circumference of the circle. It is also known as circular sector or circle sector. Basically, there are two parts of a circle, the first one is sector and the one is segment. Sector of a circle is mainly divided into two parts i.e. quadrant and a semicircle. Quadrant is defined as the quarter of a circle and semicircle is defined as half of a circle. In other words you can say that a sector having the angle 180® is also called as semicircle.


Area of sector of a circle is given by :
K = r² . α/2
Where r is the radius of sector of a circle and α is the central angle.
Perimeter of sector of a circle is given by:
T = C + 2r
  =  αr + 2r
  = r (α + 2)
Where c is the arc length of sector of a circle.
Properties of sector of a circle:
Radius: A radius of a circle is defined as the half of the diameter. It is the maximum distance between the centre of the circle and the circumference and in order to determine the radius we can use the formula of circumference and i.e. [2 x pie x r]
Arc length: Arc is defined as the segment of the circumference and arc length is define as the curve distance between the central angle which is define by the radius.
Central angle: Angle Obtained from the sector to the centre of the circle is known as central angle.
At last sector of a circle and Subtraction Worksheets are also discussed in CBSE Board Previous Year Question Papers for Class 11 and in the next session we willl discuss about Greatest Integer Function.