# CIRCLES NCERT 9 MATHEMATICS TEXTBOOK MCQ (Multiple Choice Questions)

Q1. Any angle whose vertex is at the centre of the circle is called

1. Right angle
2. Central angle
3. Reflex angle
4. Straight angle

Q2. The region between an arc and the two radii joining the centre of the end points of the arc is called a:

1. Sector
2. Segment
3. Semi circle
4. Minor arc

Q3. The degree measure of a semi-circle is

1. 180o
2. 90o
3. 0o
4. 360o

Q4. A circle divides the plane in which it lies into

1. 2 parts
2. 3 parts
3. 4 parts
4. 5 parts

Q5. There is one and only one circle passing through ______  non-collinear points.

1. One
2. Two
3. Four
4. Three

Q6. If a circle is divided into three equal arcs, each arc is a

1. Major arc
2. semi-circle
3. Minor arc
4. circle

Q7. If the angles subtended by the chords of a circle at the centre are equal, then the chords are

1. Equal to each other
2. Perpendicular to each other
3. Parallel to each other
4. Not equal to each other

Q8. A regular octagon is inscribed in a circle. The angle that each side of the octagon subtends at the centre is

1. 60o
2. 45o
3. 90o
4. 75o

Q9. AD is a diameter of a circle and AB is a chord. If AD = 34 cm and AB = 30 cm, the distance of AB from the centre of the circle is :

1. 17 cm
2. 15 cm
3. 4 cm
4. 8 cm

Q10. When the ends of an arc are the ends of its diameter, it is a

1. minor arc
2. Major arc
3. Secant
4. Semi-circle

Q11. If a regular polygon is inscribed in a circle the sum of all the angles subtended by its sides at the centre is

1. 120o
2. 180o
3. 360o
4. 90o

Q12. 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

1. 8 cm
2. 6 cm
3. 5 cm
4. 10 cm

Q13. The angles subtended by arcs XY and MN on the centre of the circle are 72° each. The length of chord XY = 15 cm, then the length of chord MN is:

1. 10 cm
2. 12 cm
3. 18 cm
4. 15 cm

Q14. Equal chords of a circle subtend ….  at the centre.

1. Equal angles
2. Right angle
3. Not equal angles
4. Straight angle

Q15. Circles having the same centre and different radii are called

1. Semi-circles
2. Congruent circles
3. Concentric circles
4. Equal circles

Q16. The angle which, an arc of a circle subtends at the centre is………the angle which it subtends at any point on the remaining part of the circumference.

1. Half
2. One – third
3. Double
4. Equal

Q17. The length of a chord which is at a distance of 5 cm from the centre a circle of radius 13 cm is

1. 20 cm
2. 12 cm
3. 25 cm
4. 24 cm

Q18. A quadrant of a circle is

1. One fourth of a circle
2. One third of a circle
3. Secant
4. Semi-circle

Q19. Segment of a circle is the region between an arc and ………..of the circle.

2. chord
3. secant
4. perpendicular

Q20. A circle of radius 26 cm has a chord of length 20 cm, then the distance of the chord from the centre is

1. 12 cm
2. 30 cm
3. 40 cm
4. 24 cm

Q21. Two equal chords AB and CD of a circle with centre O are such that the length of the perpendicular OE on CD = 5 cm. If OF is the perpendicular on AB, then OF =

1. 2.5 cm
2. 10 cm
3. 15 cm
4. 5 cm

Q22. The longest chord of the circle is the

1. diameter
3. secant
4. perpendicular

Q23. Chords of a circle, equidistant from the centre are

1. Equal
2. Not equal
3. Parallel
4. Perpendicular

Q24. A chord of a circle which is twice as long as its radius is a _______ of the circle.

1. secant
2. perpendicular
3. arc
4. Diameter

Q25. A line that intersects a circle in two distinct points is a

1. Chord
2. Secant
3. Diameter

Q26. The number of circles which can pass through three non-collinear points is:

1. one
2. Two
3. Many
4. None

Q27. The radius of a circle which has a 6 cm long chord, 4 cm away from the centre of the circle is

1. 8 cm
2. 5 cm
3. 10 cm
4. 9 cm

Q28. The perpendicular distance of a chord 8 cm long from the centre of a circle of radius 5 cm is

1. 4 cm
2. 3 cm
3. 2 cm
4. 9 cm

Q29. The region bounded by an arc and a chord of a circle is called a ______.

1. Sector
2. Segment
3. Semicircle
4. None of the above

Q30.   If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:

1. Cyclic
2. Parallelogram
3. square
4. Rhombus