**MCQs Questions for Class 9 Maths Chapter 10 Circles**

In this 21^{st} century, Multiple Choice Questions (MCQs) play an important role to prepare for a competitive examination. Now-a-days, MCQs questions are asked in CBSE board examinations as well. In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.

In this post, you will find **15** **MCQs questions for class 9 maths chapter 10 circles**.

**MCQs Questions for Class 9
Maths Chapter 10 Circles**

**1. **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

**Answer: c**

**2.**
**The longest
chord of the circle is:****
**(a) Radius

(b) Arc

(c) Diameter

(d) Segment

**Answer: c**

3. 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: a**

**4. **An equilateral triangle of side 9 cm is inscribed in a
circle. The radius of the circle is

(a) 3 cm

(b) 3√2 cm

(c) 3√3 cm

(d) 6 cm

**Answer: c**

**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: a**

**6. ****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: a**

## 7. The degree measure of a semicircle is

(a) 0°

(b) 90°

(c) 360°

(d) 180°

**Answer: d**

**8. ****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: a**

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

(a) 80°

(b) 20°

(c) 160°

(d) 40°

**Answer: a**

**10. **In the given figure, O is the centre of a circle and ∠AOB = 130°, then ∠ACB =

(a) 50°

(b) 65°

(c) 115°

(d) 155°

**Answer: c**

**11. **In the given figure, sides AB and AD of a quadrilateral ABCD
are produced to E and F respectively. If ∠CBE
= 100°, then find ∠CDF.

(a) 100°

(b) 80°

(c) 130°

(d) 90°

**Answer: b**

**12. **In the given figure, ABCD is the cyclic quadrilateral in
which BC = CD and ∠CBD
= 35°. Then, ∠BAD =

(Ð°) 65°

(b) 70°

(c) 110°

(d) 90°

**Answer: b**

**13. **In the given figure, Î”ABC and Î”DBC are inscribed in a circle
such that ∠BAC = 60° and ∠DBC = 50°. then, ∠BCD =

(a) 50°

(b) 60°

(c) 70°

(d) 80°

**Answer: c**

**14. **In the given figure, O is the centre of a circle. If ∠OAB = 40° and C is a point on the
circle, then ∠ACB =

(a) 40°

(b) 50°

(c) 80°

(d) 100°

**Answer: b**

**15. **In the given figure, AB is a chord of a circle with centre O
and AB is produced to C such that BC = OB. Also, CO is joined and produced to
meet the circle in D. If ∠ACD
= 25°, then ∠AOD =

(a) 50°

(b) 75°

(c) 90°

(d) 100°

**Answer: b**