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

Students are advised to solve the Circles Multiple Choice Questions of Class 9 Maths to know different concepts. Practicing the MCQ Questions on Circles Class 9 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Circles Class 9 with answers provided with detailed solutions by looking below.

Question 1.

If there are two separate circles drawn apart from each other, then the maximum number of common points they have:

(a) 0

(b) 1

(c) 2

(d) 3

## Answer

Answer: (a) 0

Question 2.

D 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

## Answer

Answer: (d) 7 cm

Question 3.

In a circle with center O and a chord BC, points D and E lie on the same side of BC. Then, if∠BDC=80°, then ∠BEC =

(a) 80°

(b) 20°

(c) 160°

(d) 40°

## Answer

Answer: (a) 80°

Question 4.

The center of the circle lies in______ of the circle.

(a) Interior

(b) Exterior

(c) Circumference

(d) None of the above

## Answer

Answer: (a) Interior

Question 5.

If chords AB and CD of congruent circles subtend equal angles at their centres, then:

(a) AB = CD

(b) AB > CD

(c) AB < AD

(d) None of the above

## Answer

Answer: (a) AB = CD

Question 6.

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

(a) perpendicular

(b) radius

(c) chord

(d) secant

## Answer

Answer: (c) chord

Question 7.

In the figure, triangle ABC is an isosceles triangle with AB = AC and measure of angle ABC = 50°. Then the measure of angle BDC and angle BEC will be

(a) 60°, 100°

(b) 80°, 100°

(c) 50°, 100°

(d) 40°, 120°

## Answer

Answer: (b) 80°, 100°

Question 8.

The region between chord and either of the arc is called

(a) a sector

(b) a semicircle

(c) a segment

(d) a quarter circle

## Answer

Answer: (c) a segment

Question 9.

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

## Answer

Answer: (d) Sector

Question 10.

If a line intersects two concentric circles with centre O at A, B, C and D, then:

(a) AB = CD

(b) AB > CD

(c) AB < CD

(d) None of the above

## Answer

Answer: (a) AB = CD

Question 11.

A chord of a circle which is twice as long as its radius is a ____ of the circle

(a) Diameter

(b) perpendicular

(c) arc

(d) secant

## Answer

Answer: (a) Diameter

Question 12.

A regular octagon is inscribed in a circle. The angle that each side of the octagon subtends at the centre is

(a) 45°

(b) 75°

(c) 90°

(d) 60°

## Answer

Answer: (a) 45°

Question 13.

Equal _____ of the congruent circles subtend equal angles at the centers.

(a) Segments

(b) Radii

(c) Arcs

(d) Chords

## Answer

Answer: (d) Chords

Question 14.

The angle subtended by the diameter of a semi-circle is:

(a) 90

(b) 45

(c) 180

(d) 60

## Answer

Answer: (c) 180

Question 15.

The degree measure of a semicircle is

(a) 0°

(b) 90°

(c) 360°

(d) 180°

## Answer

Answer: (d) 180°

Question 16.

In the given figure if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to

(a) 4 cm

(b) 3 cm

(c) 5 cm

(d) 2 cm

## Answer

Answer:

Question 17.

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) r^{2}

## Answer

Answer: (c) 2r

Question 18.

In a circle with center O and a chord BC, the point D lies on the same side BC as O. If ∠ BOC = 50°,then ∠ BDC =

(a) 25°

(b) 100°

(c) 75°

(d) 150°

## Answer

Answer: (a) 25°

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