Angle Subtended by The Chord

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

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

Reflex angle

Straight angle

Central angle

Right angle

Question 1 of 20

2. In the given figure, if ∠OAB = 40o then ∠ACB is equal to:

60°

50°

40°

70°

Question 2 of 20

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

Not equal to each other

Parallel to each other

Equal to each other

Perpendicular to each other

Question 3 of 20

4. Name the chord that subtends angle FOE at the centre.

FD

FE

BC

AB

Question 4 of 20

5. In the given figure name the angle subtended by the chord PQ on the major arc

∠PQO

∠PSQ

∠PRQ

∠POQ

Question 5 of 20

6. In figure, O and O" are centres of two circles intersecting at B and C. ACD is a straight line, then the value of x is:

60°

135°

120°

75°

Question 6 of 20

7. 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

18 cm

15 cm

12 cm

Question 7 of 20

8. In a circle with center O and a chord BC, points D and E lie on the same side of BC. Then, if∠BDC=80°, then ∠BEC =

80°

20°

160°

40°

Question 8 of 20

9. In a circle with center O and a chord BC, the point D lies on the same side BC as O. If ∠ BOC=50°,then ∠ BDC=

25°

100°

75°

150°

Question 9 of 20

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

45°

75°

90°

60°

Question 10 of 20

11. In the given figure, what is the measurement of YXZ?

75°

42°

144°

90°

Question 11 of 20

12. In figure, O is the centre of the circle and PS bisects ∠QPR. Find ∠QRS.

45°

90°

180°

60°

Question 12 of 20

13. An equilateral triangle ABC is inscribed in a circle with centre O. Angle BOC will be

130°

150°

120°

180°

Question 13 of 20

14. In figure arc PQ = arc PR, ∠POQ = 30° and ∠QOS = 70°. Find ∠ROS.

130°

60°

140°

90°

Question 14 of 20

15. Chord AB subtends ∠AOB = 60° at centre. If OA = 5 cm then length of AB (in cm) is :

A

B

C

D

Question 15 of 20

16. In the figure, ∠M = 82°, then ∠O=?

52°

98°

35°

45°

Question 16 of 20

17. If ∠OAB = 40° then ∠ACB is equal to:

70°

60°

40°

50°

Question 17 of 20

18. In the figure, if AB is the diameter of the circle, then the value of x is:

40°

80°

90°

50°

Question 18 of 20

19. An equilateral ΔABC is inscribed in a circle with centre O. The measure of ∠BOC is:

100°

120°

130°

110°

Question 19 of 20

20. If the rehular polygon is inscribed in a circle the sum of all the angles are at the the centre is

180°

90°

360°

120°

Question 20 of 20

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