03 - Let's Recap - Areas Related to Circles - Class 10 - Maths Class 10 Notes | EduRev

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Class 10 : 03 - Let's Recap - Areas Related to Circles - Class 10 - Maths Class 10 Notes | EduRev

 Page 1


 
 
 
 
A. PERIMETER AND AREA OF A CIRCLE 
 
? The distance covered by travelling once around a circle is called the perimeter 
of the circle. It is also called the circumference of the circle. 
 
 
? Circumference =             
o =                
o =     
 
? Area of the circle =   
 
 
 
 
 
B. AREAS OF SECTOR AND SEGMENT OF A CIRCLE 
 
 
 
 
 
 
 
 
 
 
? Sector of a circle 
 
? The portion / part of the circular region enclosed by two radii and 
the corresponding arc is called a sector of the circle. 
 
? Area (minor sector OPRQ) = 
 
    
   
 
 
 
? Area (major sector OPSQ) = 
        
    
   
 
 
 
= area of the circle   area of the      
minor sector 
Major Sector 
 
O 
Minor Sector 
 
P                                  Q 
               R 
S 
Page 2


 
 
 
 
A. PERIMETER AND AREA OF A CIRCLE 
 
? The distance covered by travelling once around a circle is called the perimeter 
of the circle. It is also called the circumference of the circle. 
 
 
? Circumference =             
o =                
o =     
 
? Area of the circle =   
 
 
 
 
 
B. AREAS OF SECTOR AND SEGMENT OF A CIRCLE 
 
 
 
 
 
 
 
 
 
 
? Sector of a circle 
 
? The portion / part of the circular region enclosed by two radii and 
the corresponding arc is called a sector of the circle. 
 
? Area (minor sector OPRQ) = 
 
    
   
 
 
 
? Area (major sector OPSQ) = 
        
    
   
 
 
 
= area of the circle   area of the      
minor sector 
Major Sector 
 
O 
Minor Sector 
 
P                                  Q 
               R 
S 
 
 
 
 
 
 
? Length of an arc of a sector of angle   = 
 
    
     
where, r = radius of the circle 
 
? Perimeter of the sector   
                  = 
 
    
     + 2r    where, r = radius of the circle 
 
 
 
? Segment of a circle 
 
? The portion/part of the circular region enclosed between a chord 
and the corresponding arc is called the segment of the circle. 
 
 
? The segment containing centre of the circle is called major 
segment and the segment which doesn’t contain the centre of the 
circle is called the minor segment. 
 
 
? Area of minor segment PRQ 
                     = Area of sector OPRQ – Area of      
                     = 
 
   
   
 
 – 
 
 
  
 
     
 
 
 
Page 3


 
 
 
 
A. PERIMETER AND AREA OF A CIRCLE 
 
? The distance covered by travelling once around a circle is called the perimeter 
of the circle. It is also called the circumference of the circle. 
 
 
? Circumference =             
o =                
o =     
 
? Area of the circle =   
 
 
 
 
 
B. AREAS OF SECTOR AND SEGMENT OF A CIRCLE 
 
 
 
 
 
 
 
 
 
 
? Sector of a circle 
 
? The portion / part of the circular region enclosed by two radii and 
the corresponding arc is called a sector of the circle. 
 
? Area (minor sector OPRQ) = 
 
    
   
 
 
 
? Area (major sector OPSQ) = 
        
    
   
 
 
 
= area of the circle   area of the      
minor sector 
Major Sector 
 
O 
Minor Sector 
 
P                                  Q 
               R 
S 
 
 
 
 
 
 
? Length of an arc of a sector of angle   = 
 
    
     
where, r = radius of the circle 
 
? Perimeter of the sector   
                  = 
 
    
     + 2r    where, r = radius of the circle 
 
 
 
? Segment of a circle 
 
? The portion/part of the circular region enclosed between a chord 
and the corresponding arc is called the segment of the circle. 
 
 
? The segment containing centre of the circle is called major 
segment and the segment which doesn’t contain the centre of the 
circle is called the minor segment. 
 
 
? Area of minor segment PRQ 
                     = Area of sector OPRQ – Area of      
                     = 
 
   
   
 
 – 
 
 
  
 
     
 
 
 
 
 
 
 
 
? Area of major segment PSQ 
                     = Area of circle – Area of minor segment PRQ 
                     =   
 
   
   
 
   
 
  
 
 
 
 
      
 
 
 
C. AREAS OF COMBINATIONS OF PLANE FIGURES 
 
? Finding out the areas of figures made up of two or more figures 
i.e. combination of figures. 
 
 
? Finding the areas of different shapes, and add or subtract the areas 
of another shapes to find out asked area. 
 
 
 
         
 
 
 
 
 
 
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