CBSE Class 9 Maths Circles MCQs Set B with answers available in Pdf for free download. The MCQ Questions for Class 9 Mathematics with answers have been prepared as per the latest syllabus, NCERT books and examination pattern suggested in Standard 9 by CBSE, NCERT and KVS. Multiple Choice Questions are an important part of Term 1 and Term 2 exams for Grade 9 Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for NCERT Class 9 Mathematics and also download more latest study material for all subjects

## Circles Class 9 Mathematics MCQ

Class 9 Mathematics students should refer to the following multiple-choice questions with answers for Circles in standard 9. These MCQ questions with answers for Grade 9 Mathematics will come in exams and help you to score good marks

### Circles MCQ Questions Class 9 Mathematics with Answers

**1. The length of a chord of circle of radius 10 cm is 12 cm. Determine the distance of the chord from the centre**

(a) 8 cm (b) 7 cm (c) 6 cm (d) 5 cm

**2. The length of a chord of circle is 4 cm. If its perpendicular distance from the centre is 1.5 cm, determine the radius of the circle.**

(a) 2.5 cm (b) 1.5 cm (c) 6 cm (d) 5 cm

**3. The radius of the circle is 5 cm and distance of the chord from the centre of the circle is 4 cm. Find the length of the chord.**

(a) 8 cm (b) 7 cm (c) 6 cm (d) 5 cm

**4. Find the length of a chord, which is at a distance of 24 cm from the centre of a circle whose diameter is 50 cm.**

(a) 12 cm (b) 14 cm (c) 16 cm (d) 15 cm

**5. Two points A and B are 16 cm apart. A circle with radius 17 cm is drawn to pass through these points. Find the distance of AB from the centre of the circle.**

(a) 12 cm (b) 14 cm (c) 16 cm (d) 15 cm

**6. If the length of a chord of a circle at a distance of 5 cm from the centre of the circle is 24 cm, find the radius of the circle.**

(a) 13 cm (b) 14 cm (c) 16 cm (d) 15 cm

**7. A chord 6 cm long is drawn in a circle with a diameter equal to 10 cm. Find its perpendicular distance from the centre.**

(a) 4 cm (b) 7 cm (c) 6 cm (d) 5 cm

**8. If the length of a chord of a circle at a distance of 24 cm from the centre of the circle is 36 cm, find the length of the greatest chord of the circle.**

(a) 80 cm (b) 70 cm (c) 60 cm (d) 50 cm

**9. AB is a chord of the circle with centre O and radius 13 cm. **

** and OM =5 cm, find th length of the chord AB.**

(a) 24 cm (b) 27 cm (c) 26 cm (d) 25 cm

**10. A chord of a circle of radius 7.5 cm with centre O is of length 9 cm. Find the its distance from the centre.**

(a) 4 cm (b) 7 cm (c) 6 cm (d) 5 cm

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

(a) 4 cm (b) 7 cm (c) 6 cm (d) 5 cm

**12. In a circle of radius 25 cm, AB and AC are two chords, such that AB = AC = 30 cm . Find the length of the chord.**

(a) 40 cm (b) 48 cm (c) 60 cm (d) 50 cm

#### 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: 13 cm**

#### 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: 36°**

#### Question: A circle has

- a) infinite sides
- b) 20 sides
- c) 10 sides
- d) 3000 sides

**Answer: infinite sides**

#### 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: 30°**

#### 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: diameters**

#### 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: 500.05 cm**

#### 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: 6.8 cm**

#### 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: 4 units**

#### Question: P, Q, R, S, T and U are points on the circle shown below and the length of arc PQR is 6 cm. Then length of arc STU is

- a) cannot be determined from the given data
- b) 6 cm
- c) 12 cm
- d)

**Answer: cannot be determined from the given data**

#### Question:

- a) 70°
- b) 105°
- c) 35°
- d) y°

**Answer: 70°**

#### Question:

- a) lesser than 90°
- b) cannot be determined from given data
- c) greater than 90°
- d) 90°

**Answer: lesser than 90°**

#### Question: C is the centre of the circle as shown in the diagram below. Then x + y is equal to

- a) 90°
- b) 100°
- c) 130°
- d) 45°

**Answer: 90°**

#### 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: 4 : 5**

#### 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: 16 : 81**

#### 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: rC = 2A**

#### 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 cm
^{2} - b) 45.27 cm
^{2} - c) Both
- d) None of these

**Answer: ****40.27 cm ^{2}**

#### 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 cm
^{2} - b) 176 cm
^{2} - c) 168 cm
^{2} - d) 154 cm
^{2}

**Answer: ****148 cm ^{2}**

#### 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: 176**

#### Question: The area of the largest triangle that can be inscribed in a semicircle whose radius is r cm is

- a) r
^{2}cm^{2} - b) 2r cm
^{2} - c) None of these
- d) 2r
^{2}cm^{2}

**Answer: ****r ^{2} cm^{2}**

#### 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: 14 : 11**

#### 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: ****10√3 cm**

#### Question:

- a) 3 cm
- b) 3.5 cm
- c) 2.5 cm
- d) 3.6 cm

**Answer: 3 cm**

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