Reproduction is one of the most fundamental characteristics of living organisms. It is the biological process by which organisms produce new individuals of the same species, ensuring the continuity of life on Earth. Without reproduction, life would cease to exist after the death of existing organisms. Reproduction not only maintains population size but also plays a crucial role in evolution, variation, and adaptation. Reproduction occurs in various forms across different organisms, ranging from simple unicellular organisms to complex multicellular plants and animals. These methods are broadly classified into asexual reproduction and sexual reproduction. Each mode has its own mechanisms, advantages, and limitations, contributing to the survival and diversity of life.

1. Chapter 11
Area Related to Circle
Maths By : Manohar Jha

2. Maths By : Manohar Jha
Parts of Circle
Radius Diameter Circumference
Chord Arc Tangent

3. Circumference of Circle
Let Radius of Circle : R
Circumference of Circle : 2πR
Π = 22/7 or Π = 3.14
Maths By : Manohar Jha

4. Area of Circle
Let Radius of Circle : R
Area of Circle : πR2
Π = 22/7 or Π = 3.14
Maths By : Manohar Jha

5. θ
R
a
d
i
u
s
Let Radius : R
Angle : θ
Sector of Circle
Maths By : Manohar Jha

6. Segment of Circle
Major Segment
Minor Segment
Segment is of two types
1 Major Segment
2 Minor segment
A segment is a region of circle which is cut off from the rest of circle by the secant
or a chord
Maths By : Manohar Jha

7. Minor Segment
A
B C
Area of
Minor
Segment
Area of
Sector
= _ Area of
ABC
Area of
ABC
= R2
sinθ cosθ
2 2
_ _
Maths By : Manohar Jha

8. Area of
Circle
= _ Area of
Minor
Segment
Maths By : Manohar Jha
Area of
Major
Segment
Major Segment
Major Segment
Minor Segment

9. Quadrant
Circumference : πR
2
Area : πR2
4
Maths By : Manohar Jha

10. Area Related to Circle NCERT Solutions EX
11.1
Q1 Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°
Maths by : Manohar Jha

11. Area Related to Circle NCERT Solutions EX
11.1
Q2 Find the area of a quadrant of a circle whose circumference is 22 cm
Maths by : Manohar Jha

12. Area Related to Circle NCERT Solutions EX
11.1
Q3 The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand
in 5 minutes.
Maths by : Manohar Jha

13. Area Related to Circle NCERT Solutions EX
11.1
Q4 A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the
corresponding : (i) minor segment (ii) major sector. (Use = 3.14)

Maths by : Manohar Jha

14. Area Related to Circle NCERT Solutions EX
11.1
Q4 A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the
corresponding : (i) minor segment (ii) major sector. (Use = 3.14)

Maths by : Manohar Jha

15. Area Related to Circle NCERT Solutions EX
11.1
Q4 A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the
corresponding : (i) minor segment (ii) major sector. (Use = 3.14)

Maths by : Manohar Jha

16. Area Related to Circle NCERT Solutions EX
11.1
Q4 A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the
corresponding : (i) minor segment (ii) major sector. (Use = 3.14)

Maths by : Manohar Jha

17. Area Related to Circle NCERT Solutions EX
11.1
Q4 A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the
corresponding : (i) minor segment (ii) major sector. (Use = 3.14)

Maths by : Manohar Jha

18. Area Related to Circle NCERT Solutions EX
11.1
Q4 A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the
corresponding : (i) minor segment (ii) major sector. (Use = 3.14)

Maths by : Manohar Jha

19. Area Related to Circle NCERT Solutions EX
11.1
Q4 A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the
corresponding : (i) minor segment (ii) major sector. (Use = 3.14)

Maths by : Manohar Jha

20. Area Related to Circle NCERT Solutions EX
11.1
Q5 In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find:
(i) the length of the arc
(ii) area of the sector formed by the arc
(iii) area of the segment formed by the corresponding chord
Maths by : Manohar Jha

21. Area Related to Circle NCERT Solutions EX
11.1
Q5 In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find:
(i) the length of the arc
(ii) area of the sector formed by the arc
(iii) area of the segment formed by the corresponding chord
Maths by : Manohar Jha

22. Area Related to Circle NCERT Solutions EX
11.1
Q5 In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find:
(i) the length of the arc
(ii) area of the sector formed by the arc
(iii) area of the segment formed by the corresponding chord
Maths by : Manohar Jha

23. Area Related to Circle NCERT Solutions EX
11.1
Q5 In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find:
(i) the length of the arc
(ii) area of the sector formed by the arc
(iii) area of the segment formed by the corresponding chord
Maths by : Manohar Jha

24. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

25. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

26. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

27. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

28. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

29. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

30. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

31. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

32. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

33. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

34. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

35. Area Related to Circle NCERT Solutions EX
11.1
Q6 A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of
the corresponding minor and major segments of the circle. (Use = 3.14 and 3 = 1.73)

Maths by : Manohar Jha

36. Area Related to Circle NCERT Solutions EX
11.1
Q6 A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of
the corresponding minor and major segments of the circle. (Use = 3.14 and 3 = 1.73)

Maths by : Manohar Jha

37. Area Related to Circle NCERT Solutions EX
11.1
Q6 A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of
the corresponding minor and major segments of the circle. (Use = 3.14 and 3 = 1.73)

Maths by : Manohar Jha

38. Area Related to Circle NCERT Solutions EX
11.1
Q6 A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of
the corresponding minor and major segments of the circle. (Use = 3.14 and 3 = 1.73)

Maths by : Manohar Jha

39. Area Related to Circle NCERT Solutions EX
11.1
Q6 A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of
the corresponding minor and major segments of the circle. (Use = 3.14 and 3 = 1.73)

Maths by : Manohar Jha

40. Area Related to Circle NCERT Solutions EX
11.1
Q6 A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of
the corresponding minor and major segments of the circle. (Use = 3.14 and 3 = 1.73)

Maths by : Manohar Jha

41. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

42. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

43. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

44. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

45. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

46. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

47. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

48. Area Related to Circle NCERT Solutions EX
11.1
Q7 A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of
the corresponding segment of the circle
Maths by : Manohar Jha

49. Area Related to Circle NCERT Solutions EX
11.1
Q7 A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of
the corresponding segment of the circle
Maths by : Manohar Jha

50. Area Related to Circle NCERT Solutions EX
11.1
Q7 A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of
the corresponding segment of the circle
Maths by : Manohar Jha

51. Area Related to Circle NCERT Solutions EX
11.1
Q7 A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of
the corresponding segment of the circle
Maths by : Manohar Jha

52. Area Related to Circle NCERT Solutions EX
11.1
Q7 A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of
the corresponding segment of the circle
Maths by : Manohar Jha

53. Area Related to Circle NCERT Solutions EX
11.1
Q7 A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of
the corresponding segment of the circle
Maths by : Manohar Jha

54. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

55. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

56. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

57. Area Related to Circle NCERT Solutions EX
11.1
Q8 A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of
a 5 m long rope (see Fig. 11.8). Find
(i) the area of that part of the field in which the horse can graze.
Maths by : Manohar Jha

58. Area Related to Circle NCERT Solutions EX
11.1
Q8 A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of
a 5 m long rope (see Fig. 11.8). Find
(i) the area of that part of the field in which the horse can graze.
Maths by : Manohar Jha

59. Area Related to Circle NCERT Solutions EX
11.1
Q8 A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of
a 5 m long rope (see Fig. 11.8). Find
(i) the area of that part of the field in which the horse can graze.
Maths by : Manohar Jha

60. Area Related to Circle NCERT Solutions EX
11.1
Q8 A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of
a 5 m long rope (see Fig. 11.8). Find
(i) the area of that part of the field in which the horse can graze.
Maths by : Manohar Jha

61. Area Related to Circle NCERT Solutions EX
11.1
Q8 A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of
a 5 m long rope (see Fig. 11.8). Find
(i) the area of that part of the field in which the horse can graze.
Maths by : Manohar Jha

62. Area Related to Circle NCERT Solutions EX
11.1
Q8 A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of
a 5 m long rope (see Fig. 11.8). Find
(i) the area of that part of the field in which the horse can graze.
Maths by : Manohar Jha

63. Area Related to Circle NCERT Solutions EX
11.1
Q8 A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of
a 5 m long rope (see Fig. 11.8). Find
(i) the area of that part of the field in which the horse can graze.
Maths by : Manohar Jha

64. Area Related to Circle NCERT Solutions EX
11.1
Q8 A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of
a 5 m long rope (see Fig. 11.8). Find
(i) the area of that part of the field in which the horse can graze.
Maths by : Manohar Jha

65. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

66. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

67. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

68. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

69. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

70. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

71. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

72. Area Related to Circle NCERT Solutions EX
11.1
Maths by : Manohar Jha

73. THANK YOU