Circles Class 9 MCQ with Answers – Maths Class 9 MCQ Online Test are covered in this Article. Circles Class 9 MCQ Test contains 25 questions. Answers to MCQ on Circles Class 9 are available after clicking on the answer. MCQ Questions for Class 9 with Answers have been made for Class 9 students to help check the concept you have learnt from detailed classroom sessions and application of your knowledge.
| Board | CBSE |
| Textbook | Maths (NCERT) |
| Class | Class 9 |
| Chapter | Chapter 10 Circles |
| Category | MCQ Questions for Class 9 Maths with Answers |
Circles Class 9 MCQ with Answers
1. The line segment that joins two distinct points of a circle is
(a) Secant
(b) Tangent
(c) Chord
(d) Diameter
Answer
Answer: (c) Chord
2. A chord that passes through the center of the circle is
(a) Diameter
(b) Radius
(c) Secant
(d) Chord
Answer
Answer: (a) Diameter
3. The collection of all points in a plane, which are equidistant from a fixed point in the plane is
(a) Diameter
(b) Radius
(c) Circle
(d) Chord
Answer
Answer: (c) Circle
4. What is the relation of diameter with initial radius, if the radius of a circle is reduced by one fourth
(a) d = 2r
(b) d = r/4
(c) d = 4r
(d) d = r/2
Answer
Answer: (d) d = r/2
Explanation:
r2 = r1 /4
d =2 × r2
= 2 × r1/4
= r1 / 2
5. The circumference of a circle is
(a) Linear distance around the circle
(b) Length of complete arc of the circle
(c) Both
(d) None of the above
Answer
Answer: (c) Both
6. The line drawn from the center of a circle to bisect a chord is
(a) Parallel to the chord
(b) Perpendicular to the chord
(c) Radius of a circle
(d) Tangent of a circle
Answer
Answer: (b) Perpendicular to the chord
7. When P & Q are the ends of a diameter of a circle, then both arcs are equal and each arc is called as
(a) Secant
(b) Segment
(c) Sector
(d) semicircle
Answer
Answer: (d) semicircle
Explanation:
Circles Class 9 MCQ with Answers
8. A part of a circle made of the arc of the circle along with its two radii is called as
(a) Circumference
(b) Sector
(c) Segment
(d) Area
Answer
Answer: (b) Sector
9. A region bounded by a chord of a circle and the intercepted arc of the circle is
(a) Circumference
(b) Sector
(c) Segment
(d) Area
Answer
Answer: (c) Segment
10. Name 1 and 2 given in the figure
(a) Minor sector and major sector
(b) Major sector and minor sector
(c) Minor segment and major segment
(d) Major segment and minor segment
Answer
Answer: (b) Major sector and minor sector
11. A line segment extending from the center of a circle to the circumference is
(a) Chord
(b) Tangent
(c) Radius
(d) Diameter
Answer
Answer: (c) Radius
12. Any straight line drawn from the edge of a circle to another edge and passes through the center of the circle is
(a) Chord
(b) Tangent
(c) Radius
(d) Diameter
Answer
Answer: (d) Diameter
13. A circle is drawn from one of the vertices of square of side. Find the angle of major sector.
(a) 270˚
(b) 300˚
(c) 90˚
(d) None of the above
Answer
Answer: (a) 270˚
Explanation:
In a square, all the sides are equal and each angle is equal to 90˚
Angle of minor sector = 90˚
Angle of major sector = 360˚ – 90˚ = 270˚
14. ∠COD = 40˚, AB & CD are the equal chords of a circle. Find ∠AOB
(a) 30˚
(b) 60˚
(c) 40˚
(d) 50˚
Answer
Answer: (c) 40˚
Explanation:
Equal chords of a circle subtends equal angles at the center.
Therefore, ∠AOB = ∠COD = 40˚
15. ∠ACB = 70˚, Find ∠AOB
(a) 70˚
(b) 140˚
(c) 150˚
(d) 90˚
Answer
Answer: (b) 140˚
Explanation:
The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
Therefore,
∠AOB = 2 × ∠ACB
= 2 × 70˚ = 140˚
16. How many circles can pass through three non collinear points.
(a) 1
(b) 2
(c) 3
(d) None
Answer
Answer: (a) 1
Circles Class 9 MCQ with Answers
17. Name ABDC.
(a) Quadrilateral
(b) Cyclic quadrilateral
(c) Parallelogram
(d) Trapezium
Answer
Answer: (b) Cyclic quadrilateral
Explanation: All the four vertices A, B, C, D are lie on the circle. So, ABDC is a cyclic quadrilateral.
18. The sum of either pair of opposite angles of a cyclic quadrilateral is
(a) 360˚
(b) 270˚
(c) 180˚
(d) 90˚
Answer
Answer: (c) 180˚
19. ∠AOB = 100˚, find ∠ACB and ∠ADB
(a) ∠ACB= 100˚, ∠ADB= 100˚
(b) ∠ACB= 50˚, ∠ADB= 100˚
(c) ∠ACB= 100˚, ∠ADB= 50˚
(d) ∠ACB= 50˚, ∠ADB= 50˚
Answer
Answer: (d) ∠ACB= 50˚, ∠ADB= 50˚
Explanation:
The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
Therefore,
∠ACB = ∠ADB = 1/2 (∠AOB) = 1/2 × 100˚ = 50˚
20. Angle in a semicircle
(a) 180˚
(b) 100˚
(c) 90˚
(d) None
Answer
Answer: (c) 90˚
21. ∆ACB is inscribed in a semicircle. Find
(a) 90˚
(b) 180˚
(c) 60˚
(d) None
Answer
Answer: (a) 90˚
Explanation: Angle in a semicircle is 90˚.
22. ABDC is a cyclic quadrilateral where ∠DAB = 60˚. Find ∠ACD.
(a) 100˚
(b) 150˚
(c) 120˚
(d) 110˚
Answer
Answer: (b) 150˚
Explanation:
In ∆ADB,
∠DAB = 60˚ (given)
∠ADB = 90˚ (Angle in a semicircle is 90˚)
∠DBA = 180˚ – 90˚ – 60˚ (Angle sum property of triangle)
= 30˚
ABDC is a cyclic quadrilateral. So,
∠ACD + ∠ABD = 180˚ (The sum of either pair of opposite angles of a cyclic quadrilateral is 180˚)
∠ACD = 180˚ – 30˚ = 150˚
23. AB and CD are two equal chords in a circle, then
(a) OM = ON
(b) OM >ON
(c) OM < ON
(d) No relation
Answer
Answer: (a) OM = ON
24. A craft paper is cut in two circles of radii 10cm and 5cm. The small circle is pasted over the big circle. An isosceles triangle is pasted as shown in figure. Find the length of sides of triangle ABC.
(a) 5cm,5cm,10cm
(b) 10cm, 5√2 cm, 5cm
(c) 20cm, 5√2 cm,5√2 cm
(d) 10cm, 5cm, 20cm
Answer
Answer: (c) 20cm, 5√2 cm,5√2 cm
Explanation:
In ∆ABC,
AB = diameter of big circle = 2× 10 = 20cm
AB = AC (Sides of isosceles triangle)
∠ACB = 90˚ (Angle in a semicircle)
Therefore, ∆ABC is a right- angled isosceles triangle.
AB2 = AC2 + BC2
102 = 2× AC2
AC2 = 50
AC =BC = 5√2 cm
25. The two arcs of a circle are congruent, then
(a) the angle subtended at center is 90˚
(b) their corresponding chords are equal
(c) their corresponding angles at center are equal
(d) the chords are equidistant
Answer
Answer: (b) their corresponding chords are equal
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Frequently Asked Questions on Circles Class 9 MCQ with Answers
1. Are these MCQ on Circles Class 9 are based on 2021-22 CBSE Syllabus?
Yes. There are 25 MCQ’s on this Chapter in this blog.
2. Are you giving all the chapters of Maths Class 9 MCQs with Answers which are given in CBSE syllabus for 2021-22 ?
Yes, we are providing all the chapters of Maths Class 9 MCQs with Answers.