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Class 9 Maths Chapter 10 Circles MCQs
By Karan Singh Bisht
|
Updated on 9 Sep 2025, 16:17 IST
You can access online MCQs for Class 9 Maths Chapter 10 Circles along with detailed answers and explanations. These multiple-choice questions are prepared as per the CBSE syllabus and NCERT guidelines, ensuring complete exam relevance. Each set includes step-by-step solutions to help students understand the concepts better. For thorough preparation, make sure to also practice the important questions for Class 9 Maths.
Class 9 Maths Chapter 10 Circles MCQs with Answers
Q. Which of the following is not a chord?
A) Diameter
B) Radius
C) Secant
D) Tangent
Answer: B) Radius
Q. The longest chord of a circle is:
A) Diameter
B) Radius
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C) Secant
D) Tangent
Answer: A) Diameter
Q. Which of the following is a secant?
A) A line touching the circle at one point
B) A line passing through the circle
C) A line outside the circle
D) A line segment joining two points on the circle
Answer: B) A line passing through the circle
Q. The point where a tangent intersects the circle is called:
A) Chord
B) Secant
C) Point of contact
D) Radius
Answer: C) Point of contact
Q. If two circles intersect at two points, they are called:
A) Tangent circles
B) Congruent circles
C) Concentric circles
D) Intersecting circles
Answer: D) Intersecting circles
| MCQ Questions for Class 9 Subject-wise | |
| MCQ Questions for Class 9 Maths | MCQ Questions for Class 9 Science |
| MCQ Questions for Class 9 Social Science | MCQ Questions for Class 9 Hindi |
Q. The angle subtended by an arc at the center is:
A) Acute
B) Obtuse
C) Right angle
D) Reflex
Answer: B) Obtuse
Q. If the radius of a circle is 7 cm, its diameter is:
A) 7 cm
B) 14 cm
C) 21 cm
D) 28 cm
Answer: B) 14 cm
Q. The number of tangents that can be drawn to a circle from an external point is:
A) 1
B) 2
C) 3
D) 0
Answer: A) 1
Q. If a chord and a tangent intersect externally, then the angle between them is:
A) 30°
B) 45°
C) 60°
D) 90°
Answer: C) 60°
Q. The locus of a point which moves such that its distance from a fixed point is always constant is:
A) Line
B) Circle
C) Parabola
D) Ellipse
Answer: B) Circle
A) Diameter
B) Radius
C) Secant
D) Tangent
Answer: A) Diameter
Q. The point of intersection of any two diameters of a circle is called:
A) Center
B) Chord
C) Radius
D) Diameter
Answer: A) Center
Q. If two circles touch each other externally, the distance between their centers is:
A) Sum of their radii
B) Difference of their radii
C) Half the sum of their radii
D) Double the difference of their radii
Answer: A) Sum of their radii
More Resources for Class 9 NCERT
- NCERT Solutions for Class 9 Maths
- NCERT Solutions for Class 9 Science
- NCERT Solutions for Class 9 Social Science
- NCERT Solutions for Class 9 English
Q. If the angle subtended by an arc at the center is 90°, the arc is a:
A) Major arc
B) Minor arc
C) Semi-circle
D) Quadrant
Answer: C) Semi-circle
Q. The measure of an angle subtended by an arc at the center is twice the angle subtended by it at any point on the:
A) Circle
B) Chord
C) Tangent
D) Secant
Answer: A) Circle
Q. If the radius of a circle is halved, its circumference:
A) Doubles
B) Halves
C) Quadruples
D) Remains the same
Answer: B) Halves
Q. The length of an arc of a circle of radius 14 cm, subtending an angle of 45° at the center, is:
A) 7π cm
B) 14π cm
C) 21π cm
D) 28π cm
Answer: B) 14π cm
Q. If two circles intersect in such a way that the circumference of one circle passes through the center of the other circle, they are:
A) Concentric circles
B) Touching circles
C) Intersecting circles
D) Congruent circles
Answer: A) Concentric circles
Q. The angle in a semi-circle is:
A) 45°
B) 90°
C) 180°
D) 360°
Answer: B) 90°
Q. If the arc of a circle is equal to the radius of the circle, the angle subtended by the arc at the center is:
A) 15°
B) 30°
C) 45°
D) 60°
Answer: C) 45°
Q. The angle between two tangents drawn from an external point to a circle is:
A) 45°
B) 90°
C) 120°
D) 180°
Answer: B) 90°
Q. If the radius of a circle is 10 cm, the length of the arc subtending an angle of 60° at the center is:
A) 10π/3 cm
B) 20π/3 cm
C) 30π/3 cm
D) 40π/3 cm
Answer: A) 10π/3 cm
Q. The angle in a segment of a circle is:
A) Acute
B) Right angle
C) Obtuse
D) Reflex
Answer: C) Obtuse
Q. If the arc length of a circle is 22 cm and its radius is 7 cm, the angle subtended by the arc at the center is approximately:
A) 150°
B) 120°
C) 100°
D) 90°
Answer: C) 100°
Q. The area of the largest triangle that can be inscribed in a semi-circle of radius ‘r’ is:
A) r2
B) r2/2
C) r2/4
D) 2r22
Answer: B) r2/2
Q. If two circles touch each other internally, the distance between their centers is:
A) Sum of their radii
B) Difference of their radii
C) Half the sum of their radii
D) Double the difference of their radii
Answer: B) Difference of their radii
Q. If the diameter of a circle is tripled, its circumference:
A) Triples
B) Doubles
C) Increases by 6 times
D) Increases by 9 times
Answer: B) Doubles
Q. The area of the sector of a circle with radius ‘r’ and angle ‘θ’ (in radians) is:
A) 1/2 θr2
B) 1/2 rθ^2
C) 1/2 r2θ
D) 1/2 r2/θ
Answer: C) 1/2r22θ
Q. The angle subtended by a minor arc at the center of a circle is:
A) Less than 90°
B) 90°
C) Between 90° and 180°
D) Greater than 180°
Answer: A) Less than 90°
Q. If the angle subtended by an arc at the center of a circle is 120°, the angle subtended by it at any point on the remaining part of the circle is:
A) 30°
B) 40°
C) 60°
D) 80°
Answer: C) 60°
Q. The angle in a segment of a circle is:
A) Less than 90°
B) 90°
C) Between 90° and 180°
D) Greater than 180°
Answer: C) Between 90° and 180°
Q. If the radius of a circle is doubled, its circumference:
A) Doubles
B) Quadruples
C) Halves
D) Remains the same
Answer: A) Doubles
Q. The length of an arc of a circle of radius ‘r’, subtending an angle ‘θ’ (in radians) at the center, is:
A) rθ
B) θ/r
C) r/θ
D) θ*r2
Answer: A) rθ
A) Sum of their radii
B) Difference of their radii
C) Half the sum of their radii
D) Double the difference of their radii
Answer: B) Difference of their radii
Q. The angle between two tangents drawn from an external point to a circle is:
A) 45°
B) 90°
C) 120°
D) 180°
Answer: B) 90°
Q. If the angle subtended by an arc at the center is 60°, the angle subtended by it at any point on the remaining part of the circle is:
A) 30°
B) 40°
C) 60°
D) 80°
Answer: D) 80°
Q. The length of an arc of a circle of radius 21 cm, subtending an angle of 60° at the center, is:
A) 21π/3 cm
B) 42π/3 cm
C) 63π/3 cm
D) 84π/3 cm
Answer: B) 42π/3 cm
Q. If the radius of a circle is halved, its circumference:
A) Doubles
B) Halves
C) Quadruples
D) Remains the same
Answer: B) Halves
Q. The area of the largest rectangle that can be inscribed in a circle of radius ‘r’ is:
A) r2
B) r2/2
C) r2/4
D) 2r2
Answer: C) r2/4
Q. If two circles intersect at two points, they are called:
A) Tangent circles
B) Congruent circles
C) Concentric circles
D) Intersecting circles
Answer: D) Intersecting circles
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FAQs on Class 9 Maths Chapter 10 Circles MCQs
Where can I find Class 9 Maths Chapter 10 Circles MCQs?
You can find a structured set of Class 9 Maths Chapter 10 Circles MCQs with answers on trusted platforms like Infinity Learn, where they are prepared by subject experts according to the latest CBSE syllabus.
Can I download Class 9 Circles MCQs in PDF format?
Yes, Infinity Learn provides downloadable PDFs of Circles MCQs with answers, so students can practice offline and revise anytime before exams.
What are the benefits of solving Circles MCQs for Class 9?
Practicing MCQs helps students test conceptual clarity, improve speed and accuracy, and get familiar with exam-style questions, making revision more effective.
Which topics are covered in Class 9 Maths Chapter 10 Circles MCQs?
The MCQs cover key concepts like:
- Properties of tangent to a circle
- Theorems on tangents
- Number of tangents from a point to a circle
- Relationship between radius and tangent
- Practical problem-based questions
How do Class 9 Circles MCQs help in exam preparation?
By solving these MCQs, students get a quick revision of formulas and theorems, identify weak areas, and build confidence to attempt objective-type questions in school exams and competitive tests.