MCQ on Circles | Class 9 Mathematics Chapter 9

Share with Friends...

Welcome to MCQ Assam School. This post contains 30 MCQs (Multiple Choice Questions) on the Class 9 Mathematics Chapter 9. The name of the chapter is “Circles”. So, basically, this post contains 30 MCQs on Circles. These MCQs will help you to understand the chapter better and will also help you prepare for your exam.

MCQ on Circles Class 9 Mathematics Chapter 9

The Chapter deals with the following topics:

Angle Subtended by a Chord at a Point
Perpendicular from the Centre to a Chord
Equal Chords and their Distances from the Centre
Angle Subtended by an Arc of a Circle
Cyclic Quadrilaterals etc.

These MCQs can also act as a Mock Test. There are 30 MCQs. There are four options for each question. Out of the four options, only one option is correct. Choose the correct options for each question and click on the submit button to see the results. You can also, review your answers. For each right option, you will see a green check mark and for each wrong option, you will see a red cross mark. If the chosen option is wrong then a green check mark will appear near the right option. This way you will know the right answer.

Let’s begin.

30 MCQs on Circles for Class 9 Maths Chapter 9

1. According to Theorem 9.1, what do equal chords of a circle subtend at the centre?

A. Complementary angles B. Supplementary angles C. Equal angles D. Unequal angles

2. If a perpendicular is drawn from the centre of a circle to a chord, what does it do?

A. Doubles the chord B. Bisects the chord C. Subtends a right angle D. None of the above

3. Chords equidistant from the centre of a circle are:

A. Parallel B. Equal in length C. Perpendicular D. Diameters

4. The angle subtended by an arc at the centre is ______ the angle subtended at any point on the remaining part of the circle.

A. Half B. Equal to C. Double D. One-third

5. In a cyclic quadrilateral, the sum of a pair of opposite angles is:

A. 90° B. 120° C. 180° D. 360°

6. If two chords AB and CD subtend equal angles at the centre of a circle, then:

A. AB > CD B. AB = CD C. AB < CD D. AB ≠ CD

7. The distance of the diameter from the centre of a circle is:

A. Equal to the radius B. Zero C. Twice the radius D. Half the radius

8. Angles in the same segment of a circle are:

A. Supplementary B. Equal C. Complementary D. None of the above

9. An angle in a semicircle is always:

A. Acute B. Right C. Obtuse D. Straight

10. A quadrilateral with all vertices on a circle is called:

A. Rectangular B. Cyclic C. Concurrent D. Collinear

11. If two congruent circles have equal chords, the angles subtended at their centres are:

A. Supplementary B. Complementary C. Unequal D. Equal

12. The line drawn through the centre to bisect a chord is:

A. Parallel to the chord B. Perpendicular to the chord C. Equal to the chord D. None of the above

13. If a chord is 12 cm long and 5 cm away from the centre, the radius of the circle is:

A. 7 cm B. 10 cm C. 13 cm D. 17 cm

14. If two circles intersect at two points, their common chord is:

A. The line joining their centres B. The perpendicular bisector of the line joining their centres C. Parallel to the line joining their centres D. The line through one of the intersection points

15. In Fig. 9.11, if ∠AEQ = ∠DEQ, which theorem is used to prove AB = CD?

A. Theorem 9.1 B. Theorem 9.3 C. Theorem 9.6 D. Theorem 9.8

16. If a cyclic quadrilateral has one angle of 80°, its opposite angle is:

A. 80° B. 100° C. 180° D. 90°

17. The reflex angle subtended by a major arc at the centre is:

A. Less than 180° B. Greater than 180° C. Equal to 180° D. Equal to 90°

18. If a line segment subtends equal angles at two points on the same side of it, the four points lie on a:

A. Straight line B. Triangle C. Parabola D. Circle

19. The length of the common chord of two intersecting circles can be calculated using:

A. Pythagoras theorem B. Distance formula C. Both A and B D. None of the above

20. In Fig. 9.26, if ∠BEC = 130° and ∠ECD = 20°, what is ∠BAC?

A. 20° B. 30° C. 110° D. 130°

21. If a trapezium has non-parallel sides equal, it is:

A. A rectangle B. Cyclic C. A parallelogram D. None of the above

22. The converse of Theorem 9.3 states:

A. Equal chords are equidistant B. A line through the centre bisecting a chord is perpendicular to it C. Angles in the same segment are equal D. None of the above

23. If a chord is equal to the radius, the angle subtended by it at the minor arc is:

A. 30° B. 60° C. 150° D. 90°

24. If diagonals of a cyclic quadrilateral are diameters, the quadrilateral is a:

A. Rhombus B. Rectangle C. Square D. Trapezium

25. Three girls standing on a circle with radius 5m each 6m apart form a:

A. Right triangle B. Equilateral triangle C. Isosceles triangle D. Scalene triangle

26. If two circles are congruent, their:

A. Chords are unequal B. Radii are equal C. Centres coincide D. None of the above

27. In Fig. 9.17, if ∠ACB = ∠ADB, points A, B, C, D lie on a:

A. Straight line B. Circle C. Parabola D. Hyperbola

28. The angle between a tangent and radius at the point of contact is:

A. 45° B. 90° C. 60° D. 180°

29. If a cyclic parallelogram exists, it must be a:

A. Rectangle B. Rhombus C. Square D. Trapezium

30. The angle subtended by a chord at the centre is equal to the angle subtended by:

A. The major arc B. The corresponding minor arc C. The semicircle D. None of the above

Review Your Answers Above.

MCQ on Number Systems | Class 9 Mathematics Chapter 1
MCQ on Polynomials | Class 9 Mathematics Chapter 2
MCQ on Coordinate Geometry | Class 9 Mathematics Chapter 3
MCQ on Linear Equations in Two Variables | Class 9 Mathematics Chapter 4
MCQ on Introduction to Euclid’s Geometry | Class 9 Mathematics Chapter 5
MCQ on Lines and Angles | Class 9 Mathematics Chapter 6
MCQ on Triangles | Class 9 Mathematics Chapter 7
MCQ on Quadrilaterals | Class 9 Mathematics Chapter 8
MCQ on Heron’s Formula | Class 9 Mathematics Chapter 10
MCQ on Surface Areas and Volumes | Class 9 Mathematics Chapter 11
MCQ on Statistics | Class 9 Mathematics Chapter 12

The Bottom Line

I hope these 30 Multiple-choice questions have helped you learn more about Class 9 Mathematics Chapter 9 (Circles) in detail. You can retake the test anytime you want by refreshing the page and review your results.

If you like the content of this post, share it with your friends. They might also benefit from these MCQs.

Check out for more MCQs on other chapters of Class 9 Mathematics. We also have MCQs on other subjects ranging from Class 5 to 10.

Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.

Welcome to MCQ Assam School! Our blog is dedicated to providing top-notch MCQs for students from Class 5 to 10. We offer mock tests for various competitive exams. Our focus includes subjects like history, geography, and general knowledge. Each test is designed to enhance learning and boost confidence. Trust us for reliable and high-quality educational content.