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

## 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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## Crash Course for Class 10 Maths by Let's tute

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