# MCQ Questions Chapter 10 Circle Class 9 Mathematics

Circle Class 9 MCQ with Answers is accessible in PDF format to assist students with reiterating the recently studied lessons before CBSE Board Exam. Thus, MCQ on Circle Class 9 is prepared by our expert teachers who have long periods of teaching experience.

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Class 9 Circle MCQ are assimilated with appropriate diagrams and compacted in such a way to make certain every detail is covered. You can easily download the MCQ of Circle Class 9 with Answers to improve your preparation before taking the board exam.

Check the below MCQ Questions Chapter 10 Circle Class 9 Mathematics available with PDF free download. MCQ Questions for Class 9 Mathematics with Answers were prepared based on the latest syllabus and examination pattern issued by CBSE, NCERT and KVS. Our teachers have provided below Circle Class 9 MCQ Questions with answers which will help students to revise and get more marks in exams

## Circle Class 9 Mathematics MCQ Questions with Answers

Refer below for Circle Class 9 Mathematics MCQ Questions with solutions. Solve MCQ questions and compare them with the answers provided below

Circle Class 9 MCQ PDF downloads have been gathered for students to rehearse. Students can prepare this Class 9 Circle MCQ PDF. Each question has four choices with answers. Firstly, Solve all these Questions and check your answer with the right answer. If your answers do not match with the right answer, Don’t worry try again because You need to prepare daily to score higher marks in the Class 9 Mathematics Exam.

Question. The two parts of the circle formed by a chord whose mid-point coincides with the centre are called
(b) Semicircles
(c) Segments
(d) Sectors

B

Question. The length of the perpendicular from the centre of a circle of radius 13 cm on a chord of length 24 cm is
(a) 6 cm
(b) 5 cm
(c) 4 cm
(d) 3 cm

B

Question. In the given figure, ∠AOC = 130°, then ∠ABC equals

(a) 65°
(b) 130°
(c) 115°
(d) 125°

C

Question. AD is a diameter of a circle and AB is a chord. If AD = 36 cm and AB = 26 cm, the distance of AB from the centre of the circle is
(a) 17.35 cm
(b) 15.45 cm
(c) 12.45 cm
(d) 8.35 cm

C

Question. The collection of all points in a plane which are at a fixed distance from a given point of the plane is called
(a) Centre
(b) Circumference
(c) Circle

C

Question. In the following figure, O is the centre of the circle. OA = 5 cm and perpendicular OC on chord AB is 3 cm.Then the length of the chord AB is

(a) 8 cm
(b) 10 cm
(c) 12 cm
(d) 16 cm

A

Question. ABCD is a cyclic quadrilateral. If ∠A = (2x + 4)°, ∠B = (y + 10)°, ∠C = (4x – 4)° and ∠D = (5y + 20)°, then ∠A, ∠B, ∠C and ∠D respectively are
(a) 70°, 122°, 110°, 58°
(b) 60°, 105°, 120°, 75°
(c) 84°, 50°, 96°, 130°
(d) 64°, 35°, 116°, 145°

D

Question. In the given figure, if ∠ABC = 20°, then ∠AOC is equal to

(a) 20°
(b) 40°
(c) 60°
(d) 10°

B

Question. Which of the following is the angle type in the major sector of a circle?
(a) acute angle
(b) obtuse angle
(c) reflex angle
(d) none of these

C

Question. In the given figure, O is the centre of the circle. Its radius is 13 cm, chord AB = 10 cm and chord CD = 24 cm. PQ is equal to

(a) 18 cm
(b) 25 cm
(c) 11.5 cm
(d) 17 cm

D

Question. ABCD is a cyclic quadrilateral with centre O in the given figure. Chord AB is produced to E where ∠CBE = 130°, the value of x is equal to

(a) 130°
(b) 260°
(c) 140°
(d) 280°

A

Question. In the given figure, if AOB is a diameter of the circle and AC = BC, then ∠CAB is equal to

(a) 30°
(b) 60°
(c) 90°
(d) 45°

D

Question. The centre of the circle passing through the vertices of a right angled triangle lies
(a) inside the triangle
(b) outside the triangle
(c) on the hypotenuse
(d) none of these

C

Question. The minute hand of a clock is at 12 and the hour hand is at 4. The angle between the hands of the clock is
(a) 120°
(b) 20°
(c) 30°
(d) 60°

A

Question. In the given pentagon ABCDE, AB = BC = CD = DE = AE.

The value of x is
(a) 36°
(b) 54°
(c) 72°
(d) 108°

B

Question. Equal chords of a circle are equidistant from
(a) the centre
(b) an extremity of a diameter
(c) any point on the circumference
(d) any point on the diameter

A

Assertion & Reasoning Based MCQs

(a) Assertion and Reason both are correct statements and Reason is the correct explanation of Assertion.
(b) Assertion and Reason both are correct statements but Reason is not the correct explanation of Assertion.
(c) Assertion is correct statement but Reason is wrong statement.
(d) Assertion is wrong statement but Reason is correct statement.

Question. Assertion : In the given figure, O is the centre of circle. If ∠AOC = 140°, then ∠ABC = 110°.

Reason : In cyclic quadrilateral, opposite angles are supplementary.

A

Question. Assertion : In the given figure, ∠ABC = 70° and ∠ACB = 30°. Then, ∠BDC = 80°.

Reason : Angles in the same segment of a circle are equal.

A

Question. Assertion : In the given figure, ABCD is a cyclic quadrilateral in which AB is extended to F and BE || DC. If ∠FBE = 20° and ∠DAB = 95°, then ∠ADC = 105°.

Reason : A line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

A

Question. Assertion : AB and CD are two parallel chords of a circle whose diameter is AC. Then AB ≠ CD.
Reason : Perpendicular from the centre of a circle bisects the chord.

D

Case Based MCQs

Read the following passage and answer the questions
Ankit visited in a mall with his father. He sees that three shops are situated at P, Q, R as shown in the figure from where they have to purchase things according to their need.
Distance between shop P and Q is 8 m, that of between shop Q and R is 10 m and between shop P and R is 6 m.

Considering O as the centre of the circle, answer the following questions.

Question. Find the radius of the circle.
(a) 5 m
(b) 7 m
(c) 14 m
(d) 8 m

A

Question. Area of DPQR is
(a) 18 m2
(b) 20 m2
(c) 22 m2
(d) 24 m2

D

Question. Length of the longest chord of the circle is
(a) 6 m
(b) 8 m
(c) 10 m
(d) 24 m

C

Question. In figure, PSQP is known as
(a) Major segment
(b) Minor segment
(c) Major sector
(d) Minor sector

B

Question. Measure of ∠QPR is
(a) 60°
(b) 90°
(c) 120°
(d) 180°

B

Read the following passage and answer the questions
Rohan is class 9th student. He did not attend school as his health is not fine since few days. At home, he open his Maths textbook and observe chapter circle. He was so much curious to know about the properties of circle. His father Mr Raman, who is also a good Mathematician helps Rohan to understand all properties one by one. At last, he ask some questions to Rohan for quick revision. Help Rohan to answer the following questions.

Question. The distance from the centre of the circle to the longest chord is equal to
(a) 22/7 units
(b) 0 unit
(c) 1 unit
(d) 3 units

B

Question. The number of radii that can be drawn in a circle is
(a) 10
(b) 100
(c) 1000
(d) infinite

D

Question. A circle can circumscribe a
(a) Rectangle
(b) Trapezium
(c) Triangle
(d) All of these

D

Question. Angle formed by the equal arcs on the circumference of the circle
(a) are supplementary
(b) are equal
(c) are complimentary
(d) None of these