Read and download the CBSE Class 9 Mathematics Circle Assignment Set 01 for the 2026-27 academic session. We have provided comprehensive Class 9 Mathematics school assignments that have important solved questions and answers for Chapter 9 Circle. These resources have been carefully prepared by expert teachers as per the latest NCERT, CBSE, and KVS syllabus guidelines.
Practice Assignment: Class 9 Mathematics Chapter 9 Circle
Want to improve your grades? Working through these Class 9 Mathematics problems every day helps you understand concepts clearly and score high in school tests. These printable assignments for Chapter 9 Circle include easy and hard questions to make your exam preparation complete.
Chapter 9 Circle Questions & Answers for Class 9 Mathematics
1 AB is a chord of a circle wit h centre 0 and radius 17 cm. lf OM ⊥ AB and OM = 8 cm, find the length of chord AB.
(A) 12 cm
(B) 30 cm
(C) 15 cm
(D) 24 cm
Answer : B
2 AB is a chord of length 24 cm of a circle with centre 0 and radius 13 cm. Find the distance of the chord from the centre.
(A) 5 cm
(B) 6 cm
(C) √407 cm
(D) 25 cm
Answer : A
3 48 em long chord of a circle is at a distance of 7 em from the centre. Find the radius of the circle.
(A) 5 cm
(B) 17 cm
(C) 25 cm
(D) 16 cm
Answer : C
4 A chord of a circle is 12 cm in length and its distance from the centre is 8 cm. Find the length of the chord of the same circle which is at a distance of 6 em from the centre.
(A) 30 cm
(B) 24 cm
(C) 16 cm
(D) 18 cm
Answer : C
5 In the given figure, ΔABC is inscribed in a circle with centre O. lf ∠ACB = 65°, find ∠ABC.
(A) 25°
(B) 35°
(C) 90°
(D) 65°
Answer : A
6 An equilateral ΔPQR is inscribed in a circle with centre 0. Find ∠QOR.
(A) 60°
(B) 120°
(C) 30°
(D) 90°
Answer : B
7 In the given figure, ΔXYZ is inscribed in a circle wit h centre O. lf the length of the chord YZ is equal to the radius of the circle OY, find the measure of ∠YXZ.
(A) 45°
(B) 35°
(C) 60°
(D) 55°
Answer 7: B
Answer 8: C
Answer 9: B
10 What is the least number of noncollinear points required t o draw a circle passing through them?
(A) Two
(B) Three
(C) Four
(D) Nine
Answer : B
11 Two chords AB and CD of a circle cut each other when produced outside the circle at P. AD and BC are joined. If ∠BAD= 30° and ∠CPA = 45°, find ∠CBP.
(A) 105°
(B) 115°
(C) 135°
(D) 75°
Answer : A
12 In the given figure, ΔABC is inscribed in a circle. The bisector of ∠BAC meets BC at D and t he circle at E. If EC is joined and ∠ECD = 30°, find ∠BAC.
(A) 90°
(B) 42°
(C) 48°
(D) 38°
Answer 12: D
Answer 13: C
14 The circumference of a circle is 60 cm. An arc subtends 90° at the centre. Find its length.
(A) 10 cm
(C) 20 cm
(B) 15 cm
(D) 25 cm
Answer : B
15 Two circles intersect in A and B. Quadrilaterals PCBA and ABDE are inscribed in these circles such that PAE and CBD are line segments. If ∠P is 95° find the value of z.
(A) 65°
(B) 105°
(C) 95°
(D) 85°
Answer : D
16 A circle is divided into 12 equal parts.
What is the measure of central angle in each arc?
(A) 30°
(B) 60°
(C) 45°
(D) 48°
Answer : A
17 In a circle, the major arc is twice the minor arc. What are the corresponding central angles and the degree measures of the two arcs?
(A) 90° and 270°
(B) 60° and 300°
(C) 240° and 120°
(D) 140° and 220°
Answer : C
18 In the given figure,ABCD is a quadrilateral inscribed in a circle. Diagonals AC and BD are drawn. If ∠CAD = 40° and ∠BDC = 25°, find ∠BCD.
(A) 85°
(B) 120°
(C) 115°
(D) 95°
Answer : C
19 A circle with radius 2 units is intersected by a line at points R and T. Find the maximum possible distance between R andT.
(A) 1 unit
(B) 2 n unit s
(C) 4 n unit s
(D) 4 units
Answer : D
Answer 20: D
Answer 21: C
Answer 22: D
Answer 23: A
Answer 24: D
Answer 25: A
Answer 26: C
Answer 27: A
Answer 28: B
29 Given two concentric circles with centre 0. A line cuts the circles at A, B, C and D respectively. If AB == 10 cm, find the length of CD.
(A) 5 cm
(B) 10 cm
(C) 7.5 cm
(D) 15 cm
Answer : B
30 A chord of a circle divides the circular region into two parts. What is the region that contains the centre?
(A) Minor Arc
(B) Major Arc
(C) Minor Segment
(D) Major Segment
Answer : D
31 In the given figure, find the value of y.
(A) 35 °
(B) 60° + X0
(C) 60° - X0
(D) 120°
Answer : C
32 An equilateral ΔABC is inscribed in a circle with centre 0. Find the measure of ∠BOC.
(A) 110°
(B) 100°
(C) 120°
(D) 130°
Answer : C
33 In the given figure, ABDC is a cyclic quadrilateral and AB = AC If ∠ACB = 70°, find ∠BDC.
(A) 1 00°
(B) 70°
(C) 140°
(D) 40°
Answer : C
34 When are two circles said to be concentric?
(A) If they have the same radius.
(B) If they have different radii.
(C) If they have the same centre.
(D) If their centres are collinear.
Answer : C
35 In the given figure, PaR = SRQ.
Which of the following is correct?
(A) PQ ≠ SR
(B) PS = QR
(C) PQ = SR
(D) PS ≠ QR
Answer : C
36 is the centre of a circle, ∠BOA = 90° and ∠COA = 110°. Find the measure of ∠BAC.
(A) 70 °
(B) 80°
(C) 120°
(D) 50°
Answer : B
37 In the given figure, 0 is the centre of the circle, OM ⊥ BC, OL ⊥ AB, ON ⊥ AC and OM = ON = OL. What is ΔABC?
(A) Right angled triangle
(B) Scalene triangle
(C) Isosce les triangle
(D) Equilateral triangle
Answer : D
38 In the given figure, 0 is the centre of a circle having radius 5 cm.lf OM ⊥ PQ and OM = 3 em, find the length of chord PQ.
(A) 5 cm
(B) 8 cm
(C) 10 cm
(D) 6 cm
Answer : B
Answer 39: D
Answer 40: D
Answer 41: A
Answer 42: C
Answer 43: D
Answer 44: C
Answer 45: A
Answer 46: A
Answer 47: C
Answer 48: C
Answer 49: B
Answer 50: D
Circles
Q 1 True or False: It is possible to draw two circles passing through three given non-collinear points.
Q 2 State the following statement as true or false. Give reasons also.The perpendicular bisector of two chords of a circle intersect at centre of the circle.
Q 3 True or False :
If two arcs of a circle are congruent, then corresponding chords are unequal.
Q 4 State the following statement as true or false . Give reasons also.
Line segment joining the centre to any point on the circle is a radius of the circle.
Q 5 O is the centre of a circle of radius 5 cm. OP ⊥AB and OQ ⊥CD, AB || CD, AB = 6 cm and CD = 8 cm. Determine PQ.
Q 6 In figure, O is the centre of a circle and ∠ADC=1200. Find ∠BAC.
Q 7 In Figure, △ABC is equilateral . Find ∠ABC ∠AEC.
Click on link below to download CBSE Class 9 Mathematics Circle Assignment Set A
Free study material for Mathematics
Chapter Assignment & Practice Material for Class 9 Mathematics Chapter 9 Circle
Class 9 Mathematics Chapter 9 Circle Printable Assignments
Review targeted Chapter 9 Circle assignments matching official CBSE frameworks for Class 9. Every assignment integrates MCQs, short answer questions, and long-form problems covering core Chapter 9 Circle themes. Instantly download the complete set in PDF format for free practice. Teacher-approved based on past exam trends, these resources guarantee effective school test readiness.
Benefits of solving Assignments for Chapter 9 Circle
- Score Optimization: Proper understanding of Chapter 9 Circle gained via regular practice guarantees accurate test outputs.
- Exam Relevance: All items map directly onto contemporary CBSE sample papers and structural schemas.
- Extensive Variety: Offers Case Studies, multiple-choice options, and detailed descriptive problems with answers for Chapter 9 Circle.
- Precision Tuning: Solving Chapter 9 Circle assignments consistently boosts overall response speed and accuracy.
Maximizing Results from Class 9 Mathematics Practice Sets
- Read the Chapter First: Start with the NCERT book for Class 9 Mathematics before attempting the assignment.
- Self-Assessment: Try solving the Chapter 9 Circle questions by yourself and then check the solutions provided by us.
- Use Supporting Material: Refer to our Revision Notes and Class 9 worksheets if you get stuck on any topic.
- Track Mistakes: Maintain a notebook for tricky concepts and revise them using our online MCQ tests.
Tips for Successful Class 9 Mathematics Studies
To achieve top academic results, commit to completing one assignment for Chapter 9 Circle each day. Practicing with a strict timer enhances your execution speed and prepares you effectively for real CBSE testing conditions.
FAQs
You can download free PDF assignments for Class 9 Mathematics Chapter 9 Circle from StudiesToday.com. These practice sheets have been updated for the 2026-27 session covering all concepts from latest NCERT textbook.
Yes, our teachers have given solutions for all questions in the Class 9 Mathematics Chapter 9 Circle assignments. This will help you to understand step-by-step methodology to get full marks in school tests and exams.
Yes. These assignments are designed as per the latest CBSE syllabus for 2026. We have included huge variety of question formats such as MCQs, Case-study based questions and important diagram-based problems found in Chapter 9 Circle.
Practicing topicw wise assignments will help Class 9 students understand every sub-topic of Chapter 9 Circle. Daily practice will improve speed, accuracy and answering competency-based questions.
Yes, all printable assignments for Class 9 Mathematics Chapter 9 Circle are available for free download in mobile-friendly PDF format.