CBSE Class 10 Mathematics Area Related To Circle Worksheet Set C

Access the latest CBSE Class 10 Mathematics Area Related To Circle Worksheet Set C. We have provided free printable Class 10 Mathematics worksheets in PDF format, specifically designed for Chapter 11 Areas related to Circles. These practice sets are prepared by expert teachers following the 2025-26 syllabus and exam patterns issued by CBSE, NCERT, and KVS.

Chapter 11 Areas related to Circles Mathematics Practice Worksheet for Class 10

Students should use these Class 10 Mathematics chapter-wise worksheets for daily practice to improve their conceptual understanding. This detailed test papers include important questions and solutions for Chapter 11 Areas related to Circles, to help you prepare for school tests and final examination. Regular practice of these Class 10 Mathematics questions will help improve your problem-solving speed and exam accuracy for the 2026 session.

Download Class 10 Mathematics Chapter 11 Areas related to Circles Worksheet PDF

 

Q.- The inner circumference of a circular track is 220 m. The track is 7m wide everywhere. Calculate the cost of putting up a fence along the outer circle at the rate of j- 2 per metre. (Use π = 22/7)
 
Sol. Let the inner and outer radii of the circular
track be r metres and R metres respectively.
Then,
Inner circumference = 220 metres
= 2πr = 220
=2 × 22/7 × r = 220
=r = 35 m
Since the track is 7 metre wide everywhere.
Therefore,
R = Outer radius = r + 7 = (35 + 7) m = 42 m
areas related to circle notes 2
 
 Outer circumference
= 2πR = 2 × 22/7 × 42 m = 264 m
Rate of fencing = j- 2 per metre
 
Q.- A bicycle whell makes 5000 revolutions in moving 11 km. Find the diameter of the wheel.
 
Sol. Let the radius of the wheel be r cm.
Distance covered by the wheel in one revolution
Distance moved /Number of revolutions = 11/5000  km
11/5000 × 1000 × 100 cm = 220 cm
 Circumference of the wheel = 220 cm
=2πr = 220 cm 
2 × 22/7 × r = 220 
= r = 35 cm
 Diameter = 2r cm = (2× 35) cm = 70 cm
Hence, the diameter of the wheel is 70 cm.
 
 
AREAS RELATED TO CIRCLES
 
SECTION A:
 
1. If area of a circle is numerically double its perimeter, then find the radius of the circle. (CBSE 2011)  (4 units)
 
2. If the area of a sector is 5/18 of the area of the circle, find the angle subtended by the sector at the centre. (100⁰)
 
SECTION B: 
 
3. A square is inscribed in a circle. What is the ratio of the areas of the circle and the square. (π : 2)
 
4. The area enclosed between the two concentric circles is 346.5 cm2. The circumference of the inner circle is 88 cm. Find the radius of the outer circle. (CBSE 2011)  (17.5 cm)
 
5. If r and R are the respective radii of the smaller and bigger semi-circles, find the area of the shaded portion. ( CBSE 2010) (πR2)
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set C 1
 
SECTION C: 
 
6. The long and short hands of a clock are 6 cm and 4 cm long respectively. Find the sum of the distances travelled by their tips in 24 hours. (Use π = 3.14) (954.56cm)
 
7. OABC is a rhombus whose three vertices A, B and C lie on a circle with centre O. Find the area of the rhombus, if the area of the circle is 1256 cm2. (Use π = 3.14) (20000√3cm2)
 
 8. ABCD is a field in the shape of a trapezium with AD ‖ BC, ∠ABC = 90⁰ and ∠ADC = 60⁰. Four sectors are formed with centres A, B, C and D. The radius at each sector is 14 m. Find the total area of four sectors. (CBSE 2012) (616 m2)
 
SECTION D: 
 
9. The diameters of front and rear wheels of a tractor are 80 cm and 2 m respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions. (CBSE 2013) (280)
 
10. In fig.3, AOB is a quarter circle. OCB and OCA are semicircles with OB and OA as diameters where ar(OCO) = a sq. units and ar(BCAB) = b sq. units. Find the relation between a and b. (a = b)
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set C 2
 
11. In fig.6, ΔABC is right angled at B. AB = 14 cm and BC = 24 cm. With the vertices A,B and C as centres , arcs are drawn of equal radius. Find the area of shaded region. (91 cm2)

CBSE Class 10 Mathematics Area Related To Circle Worksheet Set C 3

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 More MCQs for NCERT Class 10 Mathematics Area Related To Circle....

 

1. The ratio of the outer and inner perimeters of a circular path is 23: 22. If the path is 5 meters wide, the diameter of the of the inner circle is
(A) 55 m
B) 110 m
(C) 220 m
(D) 230 m
 
Answer : (C)
 
 
2. The circumference of a circle is 100 cm. The side of a square inscribed in the circle is
(A) 50 √2cm
(B) 100 πcm
(C) 50√2cm
(D) 100√2 cm
 
Answer : (C)
 
 
3. The area of the incircle of an equilateral triangle is 154 cm2. The perimeter of the triangle is
(A) 71.5 cm
(B) 71.7 cm
(C) 72.3 cm
(D) 727 cm
 
Answer : (D)
 
 
4. If the circumference of a circle increase from 4π to 8π , then its area is
(A) halved
(B) doubled
(C) tripled
(D) quadrupled
 
Answer : (D)
 
 
5. If the area of a square is same as the area of a circle, then the ratio of their perimeters, in terms of π , is
(A) π : √3
(B) 2: √π
(C) 3:π
(D) π : √2
 
Answer : (D)
 
 
6. If the sum of the areas of two circles with radii  r1 and r2 is equal to the area of a circle of radius r, then r21 + r22
(A) > r2
(B) = r2
(C) 2
(D) None of these
 
Answer : (B)
 
 
7. The area of a circular path of uniform width h surrounding a circular region of radius r is
(A) π(2r + h)r
(B) π(2r + h)h
(C) π(h + r)r
(D) π(h + r)h
 
Answer : (B)
 
 
8. If AB is a chord of length 5 3cm of a circle with centre O and radius 5 cm, then area of sector OAB is
(A) 3π/8 cm2
(B) 3π/3 cm2
(C) 25π cm2 
(D) 25π/3 cm2
 
Answer : (D)
 
 
9. The area of a circle whose area and circumference are numerically equal, is
(A) 2π sq.units
(B) 4π sq.units
(C) 6π sq.units
(D) 8π sq.units
 
Answer : (B)
 
 
10. If the area of a sector of a circle is 5/18 of the area of the circle, then the sector angle is equal to
(A) 600
(B) 900
(C) 1000
(D) 1200
 
Answer : (C)
 
 
11. If the area of a sector of a circle is 7/20 of the area of the circle, then the sector angle is equal to
(A) 1100
(B) 1300
(C) 1000
(D) 1260
 
Answer : (D)
 
 
12. The radius of circle is 20 cm. it is divided into four parts of equal area by drawing three concentric circles inside it. Then the radius of the largest of three concentric circles drawn is
(A) 10 5cm
(B) 10 3cm
(C) 10 cm
(D) 10 2cm
 
Answer : (B)
 
 
13. The area of a sector whose perimeter is four times its radius r units, is
(A) r2/4 sq units
(B) 2r2 sq.units
(C) r2 sq.units
(D) r2/2 sq units
 
Answer : (C)
 
 
14. If a chord of a circle of radius 28 cm makes an angle of 900at the centre, then the area of the major segment is
(A) 392 cm2
(B) 1456 cm2
(C) 1848 cm2
(D) 2240 cm2
 
Answer : (A)
 
 
15. If area of a circle inscribed in an equilateral triangle is 48π square units, Then perimeter of the triangle is
(A) 17 3units
(B) 36 units
(C) 72 units
(D) 48 3
 
Answer : (D)
 
 
16.ABCD is a square of side 4 cm . If E is a point in the interior of the square such that CED is equilateral , then area of ACE is
(A) 2( 3 √1)cm2
(B) 2 4( 3 √1)cm
(C) 2 6( 3 √1)cm
(D) 2 8( 3 √1)cm
 
Answer : (B)
 
 
17. If π is taken as 22/7 , the distance (in meters) covered by a wheel of diameter 35 cm, in one revolution, is
(A) 2.2
B) 1.1
(C) 9.625
(D) 96.25
 
Answer : (B)
 
 
18. Area of the largest triangle that can be inscribed in a semi –circle of radius r units is
(A) r2sq. units
(B) 1/2 r2 sq units
(C) 2r2 sq.units
(D) √2r2 sq.units
 
Answer : (A)
 
 
19. If the sum of the areas of two circles with radii r1 and r2 is equal to the area of a circle of radius r, then
(A) r = r1 + r2
(B) r12 + r22 =r2
(C) r1 + r2 < r
(D) r12 + r22 < r2
 
Answer : (B)
 
 
20. If the sum of the circumferences of two circles with radii r1 + r2 is equal to the circumference of a circle of radius r, then
(A)  r = r1 + r2
(B) r1 + r2 > r
(C) r1 + r2 < r
(D) None of these
 
Answer : (A)

 

Please click on below link to download CBSE Class 10 Mathematics Area Related To Circle Worksheet Set C

Chapter 01 Real Numbers
CBSE Class 10 Mathematics Real Numbers And Polynomials Worksheet
CBSE Class 10 Mathematics Real Numbers Worksheet Set A
CBSE Class 10 Mathematics Real Numbers Worksheet Set B
CBSE Class 10 Mathematics Real Numbers Worksheet Set C
CBSE Class 10 Mathematics Real Numbers Worksheet Set D
CBSE Class 10 Mental Maths Real Numbers Worksheet
CBSE Class 10 Mental Maths Real Numbers Worksheet in Hindi
Chapter 02 Polynomials
CBSE Class 10 Mathematics Polynomials Worksheet Set A
CBSE Class 10 Mathematics Polynomials Worksheet Set B
CBSE Class 10 Mathematics Polynomials Worksheet Set C
CBSE Class 10 Mathematics Polynomials Worksheet Set D
CBSE Class 10 Mathematics Polynomials Worksheet Set E
CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A
CBSE Class 10 Mathematics Probability And Constructions Worksheet Set B
CBSE Class 10 Mathematics Probability Worksheet Set A
CBSE Class 10 Mental Maths Polynomials Worksheet
CBSE Class 10 Mental Maths Polynomials Worksheet in Hindi
Chapter 03 Pair of Linear Equations in Two Variables
CBSE Class 10 Mathematics Pair of Linear Equations in Two Variables Worksheet Set A
CBSE Class 10 Mathematics Pair of Linear Equations in Two Variables Worksheet Set B
CBSE Class 10 Mathematics Pair of Linear Equations in Two Variables Worksheet Set C
CBSE Class 10 Mathematics Pair of Linear Equations in Two Variables Worksheet Set D
CBSE Class 10 Mathematics Pair of Linear Equations in Two Variables Worksheet Set E
CBSE Class 10 Mathematics Pair of Linear Equations in Two Variables Worksheet Set F
CBSE Class 10 Mathematics Pair of Linear Equations in Two Variables Worksheet Set G
CBSE Class 10 Mental Maths Pair of Linear Equations in Two Variables Worksheet
CBSE Class 10 Mental Maths Pair of Linear Equations in Two Variables Worksheet in Hindi
Chapter 04 Quadratic Equation
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set A
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set B
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set C
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set D
CBSE Class 10 Mathematics Quadratic Equations Worksheet Set E
CBSE Class 10 Mental Maths Quadratic Equations Worksheet
CBSE Class 10 Mental Maths Quadratic Equations Worksheet in Hindi
Chapter 05 Arithmetic Progression
CBSE Class 10 Arithmetic Progression Printable Worksheet Set A
CBSE Class 10 Arithmetic Progression Printable Worksheet Set B
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set A
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set B
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set C
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set D
CBSE Class 10 Mathematics Arithmetic Progressions Worksheet Set E
CBSE Class 10 Mental Maths Arithmetic Progressions Worksheet
CBSE Class 10 Mental Maths Arithmetic Progressions Worksheet in Hindi
Chapter 06 Triangles
CBSE Class 10 Mathematics Triangles Worksheet Set A
CBSE Class 10 Mathematics Triangles Worksheet Set B
CBSE Class 10 Mathematics Triangles Worksheet Set C
CBSE Class 10 Mathematics Triangles Worksheet Set D
CBSE Class 10 Mathematics Triangles Worksheet Set E
CBSE Class 10 Mental Maths Similar Triangles Worksheet
CBSE Class 10 Mental Maths Similar Triangles Worksheet in Hindi
Chapter 07 Coordinate Geometry
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set B
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set C
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set D
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set E
CBSE Class 10 Mental Maths Coordinate Geometry Worksheet
CBSE Class 10 Mental Maths Coordinate Geometry Worksheet in Hindi
Chapter 08 Introduction to Trigonometry
CBSE Class 10 Introduction to Trigonometry Worksheet Set A
CBSE Class 10 Mathematics Introduction to Trigonometry Worksheet Set B
CBSE Class 10 Mathematics Introduction to Trigonometry Worksheet Set C
CBSE Class 10 Mathematics Introduction to Trigonometry Worksheet Set D
CBSE Class 10 Mathematics Introduction to Trigonometry Worksheet Set E
CBSE Class 10 Mathematics Introduction to Trigonometry Worksheet Set F
Chapter 09 Some Applications of Trigonometry
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set A
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set B
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set C
CBSE Class 10 Mental Maths Some Applications of Trigonometry Worksheet
CBSE Class 10 Mental Maths Some Applications of Trigonometry Worksheet in Hindi
CBSE Class 10 Some Applications of Trigonometry Worksheet Set B
Chapter 10 Circles
CBSE Class 10 Mathematics Circles Worksheet Set A
CBSE Class 10 Mathematics Circles Worksheet Set B
CBSE Class 10 Mathematics Circles Worksheet Set C
CBSE Class 10 Mathematics Circles Worksheet Set D
CBSE Class 10 Mathematics Circles Worksheet Set E
CBSE Class 10 Mathematics Circles Worksheet Set F
CBSE Class 10 Mathematics Circles Worksheet Set G
CBSE Class 10 Mental Maths Areas Related To Circle Worksheet
CBSE Class 10 Mental Maths Circle Worksheet
CBSE Class 10 Mental Maths Circle Worksheet in Hindi
Chapter 11 Areas related to Circles
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set A
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set B
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set C
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set D
CBSE Class 10 Mental Maths Areas Related To Circle Worksheet in Hindi
Chapter 12 Surface Area and Volume
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set A
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set B
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set C
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set D
CBSE Class 10 Mathematics Surface Areas And Volumes Worksheet Set E
CBSE Class 10 Mental Maths Surface Areas And Volumes Worksheet
CBSE Class 10 Mental Maths Surface Areas And Volumes Worksheet in Hindi
Chapter 13 Statistics
CBSE Class 10 Mathematics Statistics Worksheet Set A
CBSE Class 10 Mathematics Statistics Worksheet Set B
CBSE Class 10 Mathematics Statistics Worksheet Set C
CBSE Class 10 Maths Statistics And Probabilty Worksheet
CBSE Class 10 Mental Maths Statistics And Probabilty Worksheet
CBSE Class 10 Mental Maths Statistics And Probabilty Worksheet in Hindi
Chapter 14 Probability
CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A
CBSE Class 10 Maths Probabilty Worksheet
z More Worksheets for Class 10 Mathematics
CBSE Class 10 Mathematics Question Bank
CBSE Class 10 Mathematics Worksheet Set A Solved
CBSE Class 10 Mathematics Worksheet Set B Solved
CBSE Class 10 Mathematics Worksheet Set C Solved
CBSE Class 10 Mathematics Worksheet Set D
CBSE Class 10 Mathematics Worksheet Set E
CBSE Class 10 Mathematics Worksheet Set F
~ Class 10 Mathematics (Old Chapters)
CBSE Class 10 Mental Maths Geometrical Constructions Worksheet
CBSE Class 10 Mental Maths Geometrical Constructions Worksheet in Hindi
CBSE Class 10 Mental Maths Geometrical Constructions Worksheet Set A

Important Practice Resources for Class 10 Mathematics

Chapter 11 Areas related to Circles CBSE Class 10 Mathematics Worksheet

Students can use the Chapter 11 Areas related to Circles practice sheet provided above to prepare for their upcoming school tests. This solved questions and answers follow the latest CBSE syllabus for Class 10 Mathematics. You can easily download the PDF format and solve these questions every day to improve your marks. Our expert teachers have made these from the most important topics that are always asked in your exams to help you get more marks in exams.

NCERT Based Questions and Solutions for Chapter 11 Areas related to Circles

Our expert team has used the official NCERT book for Class 10 Mathematics to create this practice material for students. After solving the questions our teachers have also suggested to study the NCERT solutions  which will help you to understand the best way to solve problems in Mathematics. You can get all this study material for free on studiestoday.com.

Extra Practice for Mathematics

To get the best results in Class 10, students should try the Mathematics MCQ Test for this chapter. We have also provided printable assignments for Class 10 Mathematics on our website. Regular practice will help you feel more confident and get higher marks in CBSE examinations.

Where can I download latest CBSE Practice worksheets for Class 10 Mathematics Chapter 11 Areas related to Circles

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