Class 10 Maths Areas Related to Circles Notes for Circles of Chapter 12


CBSE Class 10 Maths Chapter 12 – Areas Related to Circles – Free PDF Download

Free PDF download of Class 10 Maths Chapter 12 – Areas Related to Circles Revision Notes & Short Key-notes prepared by expert Mathematics teachers from latest edition of CBSE(NCERT) books.
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CBSE Class 10 Maths Revision Notes Chapter 12 Areas Related to Circles

  1. Perimeter and Area of a Circle
  2. Areas of Sector and Segment of a Circle
  3. Areas of Combinations of Plane Figures
  4. Miscellaneous Questions

  • Perimeter or Circumference of the circle =  where  is the radius of the circle.

Or Circumference of the circle =  where  is the diameter of the circle.

  • Area of circle =  where ‘r’ is the radius of the circle.
  • Area of Semi circle = 
  • Area enclosed by two concentric circles

where ‘R’ and ‘r’ are radii of two concentric circles.

  • The arc length ‘’ of a sector of angle  in a circle of radius ‘r’ is given by



  • If the arc subtends an angle , then area of the corresponding sector is 


The sector which is less than the semicircular region, is called the minor sector and the sector, which is more than the semicircular region is called the major sector.

  • Area of segment= Area of sector – Area of corresponding triangle
  • Area of major segment = Area of circle – Area of minor segment
  • Angle described by minute hand in 60 minutes = 360°. Angle described by minute hand in 1 minute