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10


Q1. 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
Q2. A circle divides the plane in which it lies into
2 parts
3 parts
4 parts
5 parts
Q3. XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.
21 cm
25 cm
14 cm
17 cm
Q4. 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
Q5. 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
Q6. 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
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 chord of a circle which is twice as long as its radius is a _______ of the circle.
secant
perpendicular
arc
Diameter
Q9. 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
Q10. 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
Q11. 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
Q12. When the ends of an arc are the ends of its diameter, it is a
minor arc
Major arc
Secant
Semi-circle
Q13. The region bounded by an arc and a chord of a circle is called a ______.
Sector
Segment
Semicircle
None of the above
Q14. A line that intersects a circle in two distinct points is a
Chord
Secant
Diameter
Radius
Q15. Any angle whose vertex is at the centre of the circle is called
Right angle
Central angle
Reflex angle
Straight angle
Q16. 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
Q17. Segment of a circle is the region between an arc and ………..of the circle.
radius
chord
secant
perpendicular
Q18. 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
Q19. Circles having the same centre and different radii are called
Semi-circles
Congruent circles
Concentric circles
Equal circles
Q20. 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
Q21. The length of chord which is at a distance of 12 cm from centre of circle of radius 13 cm is:
5 cm
12 cm
13 cm
10 cm
Q22. The number of circles which can pass through three non-collinear points is:
one
Two
Many
None
Q23. Chords of a circle, equidistant from the centre are
Equal
Not equal
Parallel
Perpendicular
Q24. 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
Q25. There is one and only one circle passing through ______ given non-collinear points.
One
Two
Four
Three
Q26.   If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:
Cyclic
Parallelogram
square
Rhombus
Q27. There is one and only one circle passing through--------------non-collinear points.
One
Two
Four
Three
Q28. The longest chord of the circle is the
diameter
radius
secant
perpendicular
Q29. Equal chords of a circle subtend ….  at the centre.
Equal angles
Right angle
Not equal angles
Straight angle
Q30. The degree measure of a semi-circle is
180o
90o
0o
360o

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