10


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
180o
90o
0o
360o
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
60o
45o
90o
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 :
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
120o
180o
360o
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
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 180o, the quadrilateral is:
Cyclic
Parallelogram
square
Rhombus


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