# MCQ Questions for Class 9 Maths Chapter 10 Circles Number Systems with answers

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Below you will find MCQ Questions of Chapter 10 Circles Class 9 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 9 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 9 Maths Chapter 10 Circles with answers

1. Chords of a circle, equidistant from the centre are

(a) Equal

(b) Parallel

(c) Not equal

(d) Perpendicular

► (a) Equal

2. In the figure, O is the centre of the circle and the measure of arc ABC is 100o. The measure of angle ABC will be (a) 110°

(b) 130°

(c) 80°

(d) 200°

► (b) 130°

3. In the given figure, ∠BPC = 19o, arc AB = arc BC = arc CD. Then, the measure of ∠APD is (a) 59°

(b) 58°

(c) 76°

(d) 38°

► (b) 58°

4. The perpendicular distance of a chord 8 cm long from the centre of a circle of radius 5 cm is

(a) 2 cm

(b) 9 cm

(c) 4 cm

(d) 3 cm

► (d) 3 cm

5. AB is a chord of a circle with radius ‘r’. If P is any point on the circle such that ∠APB is a right angle , then AB is equal to

(a) 3r

(b) r

(c) 2r

(d) r2

► (c) 2r

6. A line that intersects a circle in two distinct points is a

(a) Secant

(b) Chord

(c) Radius

(d) Diameter

► (a) Secant

7. The degree measure of a semicircle is

(a) 0°

(b) 90°

(c) 360°

(d) 180°

► (d) 180°

8. The region between an arc and the two radii joining the centre of the end points of the arc is called a:

(a) Segment

(b) Semi circle

(c) Minor arc

(d) Sector

► (d) Sector

9. Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. The length of the common chord is

(a) 5 cm

(b) 8 cm

(c) 6 cm

(d) 10 cm

► (c) 6 cm

10. AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle is

(a) 6 cm

(b) 8 cm

(c) 5 cm

(d) 7 cm

► (d) 7 cm

11. A chord is at a distance of 8 cm from the centre of a circle of radius 17 cm. The length of the chord is

(a) 25 cm

(b) 12.5 cm

(c) 30 cm

(d) 9 cm

► (c) 30 cm

12. An equilateral triangle of side 9 cm is inscribed a circle. The radius of the circle is

(a) 3 cm

(b) 3√2 cm

(c) 3√3 cm

(d) 6 cm

► (c) 3√3 cm

13. The region between chord and either of the arc is called

(a) a sector

(b) a semicircle

(c) a segment

(d) a quarter circle

► (c) a segment

14. Angle inscribed in a semicircle is :

(a) 60°

(b) 90°

(c) 75°

(d) 120°

► (b) 90°

15. Greatest chord of a circle is called its

(a) chord

(b) secant

(c) radius

(d) diameter

► (d) diameter

16. Segment of a circle is the region between an arc and _____ of the circle.

(a) perpendicular

(b) radius

(c) chord

(d) secant

► (c) chord

17. Two equal chords AB and CD of a circle are such that the length of perpendicular OE on CD = 5 cm. If OF is the perpendicular on AB, then OF =​

(a) 5 cm

(b) 2.5 cm

(c) 10 cm

(d) 15 cm

► (a) 5 cm

18. Number of circles that can be drawn through three non-collinear points is

(a) 3

(b) 1

(c) 2

(d) 0

► (b) 1

19. Two concentric circles are intersected by a line L at A, B, C and D. Then (a) AB < CD

(b) AB = BP

(c) AB > CD

(d) AB = CD

► (d) AB = CD

20. The radius of a circle which has a 6 cm long chord, 4 cm away from the centre of the circle is

(a) 9 cm

(b) 8 cm

(c) 10 cm

(d) 5 cm

► (d) 5 cm

Hope the given MCQ Questions will help you in cracking exams with good marks. These Circles MCQ Questions will help you in practising more and more questions in less time.

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