Practice CBSE Class 9 Maths Circles MCQs Set A provided below. The MCQ Questions for Class 9 Chapter 9 Circles Mathematics with answers and follow the latest CBSE/ NCERT and KVS patterns. Refer to more Chapter-wise MCQs for CBSE Class 9 Mathematics and also download more latest study material for all subjects
MCQ for Class 9 Mathematics Chapter 9 Circles
Class 9 Mathematics students should review the 50 questions and answers to strengthen understanding of core concepts in Chapter 9 Circles
Chapter 9 Circles MCQ Questions Class 9 Mathematics with Answers
Question: Two parallel chords on the same side of the centre of a circle are 10 cm and 24 cm long and their distance apart is 7 cm. The radius of the circle is
a) 13 cm
b) 5 cm
c) 8 cm
d) 7 cm
Answer: A
Question: A regular decagon (10 sides) is inscribed in a circle. The angle that each side of the decagon subtends at the centre is
a) 36°
b) 100°
c) 42°
d) 24°
Answer: A
Question: A circle has
a) infinite sides
b) 20 sides
c) 10 sides
d) 3000 sides
Answer: A
Question: The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends on the longer segment of the circle is equal to
a) 30°
b) 60°
c) 45°
d) 90°
Answer: A
Question: Two chords of a circle bisect each other. Then they must be
a) diameters
b) tangents
c) none of the foregoing
d) secants parallel to each other
Answer: A
Question: A telegraph wire spans 20 m with a dip at the centre of 10 cm. Assuming the wire is in the form of a circular arc, its radius is
a) 500.05 cm
b) 116 m
c) 45 m
d) 208 m
Answer: A
Question: AB is a chord of a circle of radius 4.3 cm and P is a point on it which divides it into two parts in the ratio 7 : 10. If P is 2.7 cm distance from the centre O, the length of AB is
a) 6.8 cm
b) 6.1 cm
c) 5 cm
d) 6.4 cm
Answer:A
Question: A circle with radius 2 units is intersected by a line at points R and T. The maximum possible distance between R and T is
a) 4 units
b) 1 unit
c) 2 unit
d) 3 unit
Answer: A
Question: If the ratio of areas of two circles is 16 : 25 the ratio of their circumference is
a) 4 : 5
b) 25 : 16
c) 5 : 4
d) 3 : 5
Answer: A
Question: If the ratio of circumference of two circles is 4 : 9, the ratio of their area is
a) 16 : 81
b) 2 : 3
c) 9 : 4
d) 4 : 9
Answer: A
Question: If the area of a circle is A, radius of the circle is r and circumference of it is C, then
a) rC = 2A
b) C/A = r/2
c) A/r = C
d) None of these
Answer: A
Question: The area of a sector of a circle of radius 16 cm cut of by an arc which is 18.5 cm long is
a) 40.27 cm2
b) 45.27 cm2
c) Both
d) None of these
Answer: A
Question: The area of a segment of a circle of radius 21 cm if the arc of the segment has a measure of 60° is (Tank √3 =1.73)
a) 148 cm2
b) 176 cm2
c) 168 cm2
d) 154 cm2
Answer: A
Question: If the radii of two concentric circles are 15 cm and 13 cm respectively, then the area of the circulating ring in sq cm will be
a) 176
b) 180
c) 178
d) 200
Answer: A
Question: The area of the largest triangle that can be inscribed in a semicircle whose radius is r cm is
a) r2 cm2
b) 2r cm2
c) None of these
d) 2r2 cm2
Answer: A
Question: A wire bent in the form of a circle of radius 42 cm is cut and again bent in the form of a square. The ratio of the regions enclosed by the circle and the square in the two cases is given by
a) 14 : 11
b) 21 : 33
c) 11 : 12
d) 22 : 33
Answer: A
Question: The radius of a circle is 20 cm. Three more concentric circles are drawn inside it in such a manner that it is divided into four parts of equal area. The radius of cone of the three concentric circles is
a) 10√3 cm
b) 8√3 cm
c) 2√3 cm
d) 14√3 cm
Answer: A
Question: A sector 120 cut out from a circle has an area of 9 x 7 / 3 sq cm, The radius of the circle is
a) 3 cm
b) 3.5 cm
c) 2.5 cm
d) 3.6 cm
Answer: A
Question: E and F are points on a circle O. Point G is inside circle O and point H is outside circle O The degree measure of ∠EHF is
a) cannot be determined from given data
b) greater than 60°
c) 60°
d) less than 60°
Answer: A
Question: The radius of a circle is 2.5 cm. AB and CD are two parallel chores 2.7 m apart. If AB = 4.8 cm then CD is equal to
a) 3 cm
b) 4.8 cm
c) 2.4 cm
d) 4 cm
Answer: A
Question: The diameter is
a) greatest chord of a circle
b) none of the foregoing
c) smallest chord of a circle
d) three times radius of circle
Answer: A
Question: PQ, PR are tangents to a circle and QS is a diameter. Then
a) ∠QPR = 2∠RQS
b) ∠QPR = 1/2 ∠RQS
c) ∠QPR = ∠RQS
d) none of the foregoing
Answer: A
Question: ABCD is a cycle quadrilateral If ∠ACB = ∠ADB then
a) ABCD is a cyclic quadrilateral
b) ABCD is a square
c) ABCD is a parallelogram
d) ABCD is not a cyclic quadrilateral
Answer: A
Question: Which of the following is a cyclic quadrilateral?
a) Rectangle
b) Parallelogram
c) Trapezium
d) Rhombus
Answer: A
Question: The circumference of a circle is 60 cm. The length of an arc of 90° is
a) 15 cm
b) None
c) 10 cm
d) 20 cm
Answer: A
Question: A circle is divided into 12 equal parts. The number of degrees in each arc is
a) 30°
b) 45°
c) 60°
d) None
Answer: A
Question: An equilateral triangle XYZ is inscribed in a circle with centre O. The measure of XOY is
a) 120°
b) 75°
c) 60°
d) 45°
Answer: A
Question: The radius of a circle is 14 m, then the circumference of a circle is
a) 88 m
b) None
c) 616 m
d) 154 m
Answer: A
Question: The circumference of a circle is 44 m, then the area of the circle is
a) 154 m2
b) 6084.5 m2
c) 276.5 m2
d) 44 m2
Answer: A
Question: The area of a circle is 2464 m2, then the diameter is
a) 56 m
b) 176 m
c) 154 m
d) None
Answer: A
Question: A circular grass lawn of 35 m in radius has a path 7 m wide running around it on the outside. The are of the path is
a) 1694 m2
b) 1450 m2
c) 1496 m2
d) 1576 m2
Answer: A
Question: The difference between circumference and radius of a circle is 37 m. The circumference of that circle is
a) 44 m
b) None
c) 7 m
d) 154 m
Answer: A
Question: The area of the sector of a circle, whose radius is 6 m when the angle at the centre is 42° is
a) 13.2 m2
b) 13.4 m2
c) 14.2 m2
d) 14.4 m2
Answer: A
Question: How many plants will be there in a circular bed whose outer edge measures 30 cm allowing 4 cm2 for each plants?
a) 18
b) 24
c) 750
d) 120
Answer: A
Question: When the circumference and area of a circle are numerically equal, then the diameter is numerically equal to
a) 4
b) circumference
c) area
d) None of these
Answer: A
Question. A triangle ABC is inscribed in a circle, and the bisectors of the angles meet the circumference at X, Y, Z. The angles of the triangle X, Y, Z are respectively
(A) 90º - , 90º - B/2,90º - C/2
(B) 90°, 60°, 30°
(C) A/2,B/2,C/2
(D) B/2,A/2,A/2,B/2
Answer: A
Question. The chord of the larger of two concentric circles is tangent to the smaller circle and has length ‘a’. The area enclosed between the concentric circles is
(A) πa2
(B) πa2/2
(C) πa2/4
(D) cannot be determined from given data
Answer: C
Question. A regular decagon (10 sides) is inscribed in a circle. The angle that each side of the decagon subtends at the centre is
(A) 100°
(B) 42°
(C) 36°
(D) 24°
Answer: C
Question. A circle has
(A) 10 sides
(B) 20 sides
(C) 3000 sides
(D) infinite sides
Answer: D
Question. The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends on the longer segment of the circle is equal to
(A) 30°
(B) 45°
(C) 60°
(D) 90°
Answer: A
Question. Two parallel chords on the same side of the centre of a circle are 10 cm and 24 cm long and their distance apart is 7 cm. The radius of the circle is
(A) 13 cm
(B) 8 cm
(C) 5 cm
(D) 7 cm
Answer: A
Question. Two chords of a circle bisect each other. Then thye must be
(A) diameters
(B) tangents
(C) secants parallel to each other
(D) none of the foregoing
Answer: A
Question. A telegraph wire spans 20 m with a dip at the centre of 10 cm. Assuming the wire is in the form of a circular arc, its radius is
(A) 45 m
(B) 116 m
(C) 208 m
(D) 500.05 cm
Answer: D
Question. AB is a chord of a circle of radius 4.3 cm and P is a point on it which divides it into two parts in the ratio 7 : 10. If P is 2.7 cm distance from the centre O, the length of AB is
(A) 5 cm
(B) 6.8 cm
(C) 6.4 cm
(D) 6.1 cm
Answer: B
Question. A circle with radius 2 units is intersected by a line at points R and T. The maximum possible distance between R and T is
(A) 1 unit
(B) 2π units
(C) 4π units
(D) 4 units
Answer: D
Question. E and F are two points on a circle O. Point G is inside circle O and point H is outside circle O. The degree measure of ∠EHF is
(A) 60°
(B) greater than 60°
(C) less than 60°
(D) cannot be determined from given data
Answer: D
Question. The length l of a tanget, drawn from a point A to a circle is 4/3 of the radius r. The shortest distance from A to the circle is
(A) 1/2 r
(B) r
(C) 1/2 l
(D) 2/3 l
Answer: C
Question. The radius of a circle is 2.5 cm. AB and CD are two parallel chores 2.7 m apart. If AB = 4.8 cm then CD is equal to
(A) 4.8 cm
(B) 2.4 cm
(C) 3 cm
(D) 4 cm
Answer: C
Question. The diameter is
(A) smallest chord of a circle
(B) greatest chord of a circle
(C) three times radius of circle
(D) none of the foregoing
Answer: B
Question. PQ, PR are tangents to a circle and QS is a diameter. Then
(A) ∠QPR = 1/2 ∠RQS
(B) ∠QPR = 2∠RQS
(C) ∠QPR = ∠RQS
(D) none of the foregoing
Answer: B
Question. ABCD is a cyclic quadrilateral. If ∠ACB = ∠ADB then
(A) ABCD is a cyclic quadrilateral
(B) ABCD is a parallelogram
(C) ABCD is a square
(D) ABCD is not a cyclic quadrilateral
Answer: A
Question. Which of the following is a cyclic quadrilateral?
(A) Trapezium
(B) Parallelogram
(C) Rhombus
(D) Rectangle
Answer: D
Question. A̅B̅,C̅D̅,E̅F̅ and G̅H̅ are chords of a circle. If A̅B̅ = 3.5 cm, CD = 4 cm, EF = 3 cm and GH = 5 cm then the chord nearest to the centre of he circle is
(A) A̅B̅
(B) C̅D̅
(C) E̅F̅
(D) G̅H̅
Answer: D
Question. The circumference of a circle is 60 cm. The length of an arc of 90° is
(A) 10 cm
(B) 15 cm
(C) 20 cm
(D) None
Answer: B
Question. A circle is divided into 12 equal parts. The number of degrees in each arc is
(A) 30°
(B) 60°
(C) 45°
(D) None
Answer: A
Question. An equilateral triangle XYZ is inscribed in a circle with centre O. The measure of XOY is
(A) 60°
(B) 120°
(C) 45°
(D) 75°
Answer: B
Question. A diameter of a circle is also a
(A) tangent
(B) chord
(C) secant
(D) radius
Answer: B
Question. The number of tangents that can be drawn to a circle at a given point on it is
(A) two
(B) one
(C) zero
(D) three
Answer: D
Question. In a circle, the major arc is twice the minor arc. The corresponding central angles and the degree measures of the two arcs are
(A) 90° and 270°
(B) 60° and 300°
(C) 240° and 120°
(D) 120° and 240°
Answer: C
Question. AB, BC and CD are equal chords of a circle with O as the centre. ∠AOB is
(A) 60°
(B) 120°
(C) 90°
(D) not necessarily any of the foregoing
Answer: D
Question. One side of a regular polygon with vertices on a circle subtends an angle of 20° at the centre of this circle. This polygon is
(A) 20-sided
(B) 18-sided
(C) 9-sided
(D) 6-sided
Answer: B
Question. The least number of noncollinear points required to draw a circle passing through them is
(A) two
(B) three
(C) four
(D) nine
Answer: B
Question. If the ratio of areas of two circles is 16 : 25 the ratio of their circumference is
(A) 25 : 16
(B) 5 : 4
(C) 4 : 5
(D) 3 : 5
Answer: C
Question. If the ratio of circumference of two circles is 4 : 9, the ratio of their area is
(A) 9 : 4
(B) 16 : 81
(C) 4 : 9
(D) 2 : 3
Answer: B
Question. If the area of a circle is A, radius of the circle is r and circumference of it is C, then
(A) rC = 2A
(B) C/A = r/2
(C) AC = r2/4
(D) A/r = C
Answer: A
Question. The area of a sector of a circle of radius 16 cm cut of by an arc which is 18.5 cm long is
(A) 168 cm2
(B) 148 cm2
(C) 154 cm2
(D) 176 cm2
Answer: B
Question. The area of a segment of a circle of radius 21 cm if the arc of the segment has a measure of 60° is (Tank √3 =1.73)
(A) 45.27 cm2
(B) 40.27 cm2
(C) 40.8 cm2
(D) None
Answer: B
Question. If the radii of two concentric circles are 15 cm and 13 cm respectively, then the area of the circulating ring in sq cm will be
(A) 176
(B) 178
(C) 180
(D) 200
Answer: A
Question. The area of the largest triangle that can be inscribed in a semicircle whose radius is r cm is
(A) 2r cm2
(B) r2 cm2
(C) 2r2 cm2
(D) r/2 cm2
Answer: B
Question. A wire bent in the form of a circle of radius 42 cm is cut and again bent in the form of a square. The ratio of the regions enclosed by the circle and the square in the two cases is given by
(A) 11 : 12
(B) 21 : 33
(C) 22 : 33
(D) 14 : 11
Answer: D
Question. The radius of a circle is 20 cm. Three more concentric circles are drawn inside it in such a manner that it is divided into four parts of equal area. The radius of cone of the three concentric circles is
(A) 8 √3 cm
(B) 2 √3 cm
(C) 10 √3 cm
(D) 14 √3 cm
Answer: C
Question. A sector of 120° cut out from a circle has an area of 9,3/7 sq cm. The radius of the circle is
(A) 3 cm
(B) 2.5 cm
(C) 3.5 cm
(D) 3.6 cm
Answer: A
Question. The radius of a circle is 14 m, then the circumference of a circle is
(A) 616 m
(B) 88 m
(C) 154 m
(D) None
Answer: B
Question. The circumference of a circle is 44 m, then the area of the circle is
(A) 6084.5 m2
(B) 276.5 m2
(C) 154 m2
(D) 44 m2
Answer: C
Question. The area of a circle is 2464 m2, then the diameter is
(A) 56 m
(B) 154 m
(C) 176 m
(D) None
Answer: A
Question. A circular grass lawn of 35 m in radius has a path 7 m wide running around it on the outside. The are of the path is
(A) 1496 m2
(B) 1450 m2
(C) 1576 m2
(D) 1694 m2
Answer: D
Question. The difference between circumference and radius of a circle is 37 m. The circumference of that circle is
(A) 7 m
(B) 44 m
(C) 154 m
(D) None
Answer: B
Question. The area of the sector of a circle, whose radius is 6 m when the angle at the centre is 42° is
(A) 13.2 m2
(B) 14.2 m2
(C) 13.4 m2
(D) 14.4 m2
Answer: B
Question. If the radius of a circle is 7√π cm, then the area of the circle is
(A) 154 cm2
(B) 49 /π
(C) 22 cm2
(D) 49 cm2
Answer: D
Question. If the circumference of a circle is 30/π , then the diameter of the circle is
(A) 60 π
(B) 15/π
(C) 30/π2
(D) 30
Answer: C
Question. How many plants will be there in a circular bed whose outer edge measures 30 cm allowing 4 cm2 for each plants?
(A) 18
(B) 750
(C) 24
(D) 120
Answer: A
Question. When the circumference and area of a circle are numerically equal, then the diameter is numerically equal to
(A) area
(B) circumference
(C) 2 π
(D) 4
Answer: D
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Important Practice Resources for Free Printable Worksheets PDF
MCQs for Chapter 9 Circles Mathematics Class 9
Students can use these MCQs for Chapter 9 Circles to quickly test their knowledge of the chapter. These multiple-choice questions have been designed as per the latest syllabus for Class 9 Mathematics released by CBSE. Our expert teachers suggest that you should practice daily and solving these objective questions of Chapter 9 Circles to understand the important concepts and better marks in your school tests.
Chapter 9 Circles NCERT Based Objective Questions
Our expert teachers have designed these Mathematics MCQs based on the official NCERT book for Class 9. We have identified all questions from the most important topics that are always asked in exams. After solving these, please compare your choices with our provided answers. For better understanding of Chapter 9 Circles, you should also refer to our NCERT solutions for Class 9 Mathematics created by our team.
Online Practice and Revision for Chapter 9 Circles Mathematics
To prepare for your exams you should also take the Class 9 Mathematics MCQ Test for this chapter on our website. This will help you improve your speed and accuracy and its also free for you. Regular revision of these Mathematics topics will make you an expert in all important chapters of your course.
You can get most exhaustive CBSE Class 9 Maths Circles MCQs Set A for free on StudiesToday.com. These MCQs for Class 9 Mathematics are updated for the 2025-26 academic session as per CBSE examination standards.
Yes, our CBSE Class 9 Maths Circles MCQs Set A include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.
By solving our CBSE Class 9 Maths Circles MCQs Set A, Class 9 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.
Yes, Mathematics MCQs for Class 9 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.
Yes, you can also access online interactive tests for CBSE Class 9 Maths Circles MCQs Set A on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.