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

- Right angle
- Central angle
- Reflex angle
- 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:**

- Sector
- Segment
- Semi circle
- Minor arc

**Q3. The degree measure of a semi-circle is**

- 180
^{o} - 90
^{o} - 0
^{o} - 360
^{o}

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

- 2 parts
- 3 parts
- 4 parts
- 5 parts

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

- One
- Two
- Four
- Three

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

- Major arc
- semi-circle
- Minor arc
- circle

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

- Equal to each other
- Perpendicular to each other
- Parallel to each other
- 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**

- 60
^{o} - 45
^{o} - 90
^{o} - 75
^{o}

**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 :**

- 17 cm
- 15 cm
- 4 cm
- 8 cm

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

- minor arc
- Major arc
- Secant
- 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**

- 120
^{o} - 180
^{o} - 360
^{o} - 90
^{o}

**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**

- 8 cm
- 6 cm
- 5 cm
- 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:**

- 10 cm
- 12 cm
- 18 cm
- 15 cm

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

- Equal angles
- Right angle
- Not equal angles
- Straight angle

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

- Semi-circles
- Congruent circles
- Concentric circles
- 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.**

- Half
- One – third
- Double
- 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**

- 20 cm
- 12 cm
- 25 cm
- 24 cm

**Q18. A quadrant of a circle is**

- One fourth of a circle
- One third of a circle
- Secant
- Semi-circle

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

- radius
- chord
- secant
- 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**

- 12 cm
- 30 cm
- 40 cm
- 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 =**

- 2.5 cm
- 10 cm
- 15 cm
- 5 cm

**Q22. The longest chord of the circle is the**

- diameter
- radius
- secant
- perpendicular

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

- Equal
- Not equal
- Parallel
- Perpendicular

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

- secant
- perpendicular
- arc
- Diameter

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

- Chord
- Secant
- Diameter
- Radius

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

- one
- Two
- Many
- None

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

- 8 cm
- 5 cm
- 10 cm
- 9 cm

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

- 4 cm
- 3 cm
- 2 cm
- 9 cm

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

- Sector
- Segment
- Semicircle
- None of the above

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

- Cyclic
- Parallelogram
- square
- Rhombus