Areas Related to Circles

NCERT Revision Notes for Chapter 12 Areas Related to Circles Class 10 Maths

CBSE NCERT Revision Notes

1

Area of Sector

Answer

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.

2

Area of Semi Circle 

Answer

Semi-Circle is a sector forming an angle 180° with center. 

θ=180°

Now, Area of Semi Circle will be given as 

3

Area of Quarter Circle

Answer

4

Area of Segment

Answer

Segment is defined as area enclosed by chord and arc of the circle.  

5

Perimeter of Sector:

Answer

It is the length which enclosed the sector.

Length of arc AB + OA + OB.

OA=OB=r, that is radius of sector.

So,