## MCQ Questions for Class 9 Maths: Ch 10 Circles

1. 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
â–º (d) Sector

2. In a circle with center O and a chord BC, the point D lies on the same side BC as O. If âˆ  BOC = 50Â°,then âˆ  BDC =
(a) 25Â°
(b) 100Â°
(c) 75Â°
(d) 150Â°
â–º (a) 25Â°

3. The region between chord and either of the arc is called
(a) a sector
(b) a semicircle
(c) a segment
(d) a quarter circle
â–º (c) a segment

4. AB is a chord of a circle with radius â€˜râ€™. If P is any point on the circle such that âˆ APB is a right angle , then AB is equal to
(a) 3r
(b) r
(c) 2r
(d) r2
â–º (c) 2r

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

(a) 60Â°, 100Â°
(b) 80Â°, 100Â°
(c) 50Â°, 100Â°
(d) 40Â°, 120Â°
â–º (b) 80Â°, 100Â°

6. 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
â–º (d) 2 cm

7. Segment of a circle is the region between an arc and â€¦â€¦â€¦..of the circle.
(a) perpendicular
(c) chord
(d) secant
â–º (c) chord

8. The degree measure of a semicircle is
(a) 0Â°
(b) 90Â°
(c) 360Â°
(d) 180Â°
â–º (d) 180Â°

9. If chords AB and CD of congruent circles subtend equal angles at their centres, then:
(a) AB = CD
(b) AB > CD
(d) None of the above
â–º (a) AB = CD

10. The angle subtended by the diameter of a semi-circle is:
(a) 90
(b) 45
(c) 180
(d) 60
â–º (c) 180

11. The center of the circle lies in______ of the circle.
(a) Interior
(b) Exterior
(c) Circumference
(d) None of the above
â–º (a) Interior

12. Equal _____ of the congruent circles subtend equal angles at the centers.
(a) Segments
(c) Arcs
(d) Chords
â–º (d) Chords

13. In a circle with center O and a chord BC, points D and E lie on the same side of BC. Then, ifâˆ BDC=80Â°, then âˆ BEC =
(a) 80Â°
(b) 20Â°
(c) 160Â°
(d) 40Â°
â–º
A.
80Â°

14. A regular octagon is inscribed in a circle. The angle that each side of the octagon subtends at the centre is
(a) 45Â°
(b) 75Â°
(c) 90Â°
(d) 60Â°
â–º
A.
45Â°

15. 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
â–º (d) 7 cm

16. 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
â–º (a) Diameter

17. 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
â–º (a) 0

18. 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
â–º (a) AB = CD
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