Sector: Sector of a Circle is given as part of Circle enclosed by 2 radius and arc.
In the diagram, shaded area OAB is the sector.
Here, θ is the angle subtended by the arc AB on the center O of the circle.
Area of the Sector is given as
In whole circle, the angle θ will he 360°
Area of Circle = πr2
Using Unitary Method
Area represented by 360° = πr2
Area represented by
Semi-Circle is a sector forming an angle 180° with center.
Now, Area of Semi Circle will be given as
Area of the Semi-Circle = πr2/2
Now, Area of Quarter Circle will be given as
Area of Quarter Circle =πr2/4
Segment is defined as area enclosed by chord and arc of the circle.
In the diagram Shaded portion represents Segment AMB
Area of Segment AMB = Area of Sector OAB- Area of triangle AOB
perimeter of a Sector = l + 2r
Here l is length of arc and
|1. What is the formula for finding the area of a sector?|
|2. How do you find the angle of a sector if the area is given?|
|3. Can the area of a sector be greater than the area of the whole circle?|
|4. How do you find the length of the arc of a sector?|
|5. Can the angle of a sector be greater than 360 degrees?|