MCQ Class 10 Maths Areas Related to Circles Areas of Sectors and Segments

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. Area of a sector of angle p° of a circle with radius r is:

A

B

C

D

Question 1 of 20

2. The area of the quadrant of a circle whose circumference is 22 cm, will be

9.625 cm²

15 cm²

10 cm²

96.25 cm³

Question 2 of 20

3. PQ is a chord of a circle with centre O and radius 6cm. PQ is of length 6 cm and divides the circle into two segments. The area of the minor segment is

A

B

C

D

Question 3 of 20

4. The length of a minute hand of a wall clock is 7 cm. What is the area swept by it in 30 minutes

50 cm²

35 cm²

77 cm²

63 cm²

Question 4 of 20

5. In the given figure PQ and RS are the perpendicular diameters of the circle whose centre is O and radius = 14 cm. the area of the shaded region is

35 cm²

28 cm²

60 cm²

112 cm²

Question 5 of 20

6. A pendulum swings through an angle of 300 and describes an arc 8.8cm in length. The length of the pendulum is

17 cm

16.8 cm

8.8 cm

15.8 cm

Question 6 of 20

7. Three horses are tethered with 7 meter long ropes at the three corners of a triangular field having sides 20 m, 34 m and 42 m. The area of the plot which can be grazed by the horses is

80 m²

100 m²

77 m²

30 m²

Question 7 of 20

8. Area of a quadrant of circle whose circumference is 22 cm is : ( = 22/7)

9.625 cm²

3.5 cm²

3.5 cm

17.25 cm²

Question 8 of 20

9. The length of an arc that subtends an angle of 24° at the centre of a circle with 5 cm radius is

A

B

C

D

Question 9 of 20

10. The length of a minute hand of a wall clock is 7 cm. What is the area swept by it is 30 minutes?

2.308

3.208

3.608

-3.208

Question 10 of 20

11. The angle of the major sector and the corresponding minor sector of a circle are

conjugate angles

supplementary angles

complementary angles

Reflex angles

Question 11 of 20

12. The area of a sector of a circle of radius 5 cm is 5π cm². The angle contained by the sector will be

60°

45°

72°

90°

Question 12 of 20

13. If the ratio of the arc AB to the circumference of a circle is 1:3,then measure of the angle subtended by the arc at the centre is

172°

72°

65°

120°

Question 13 of 20

14. To warn ships of underwater rocks, a light house spreads a red colored light over a sector of angle 80° to a distance of 16.5 km. The area of the sea over which the ships are warned is

135.7 km²

200 km²

190.14 km²

180.5 km²

Question 14 of 20

15. The minute hand of a clock is 10 cm long. The area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M is

130.95 cm²

120 cm²

125.5 cm²

100 cm²

Question 15 of 20

16. The perimeter of a certain sector of a circle of radius 6.5 cm is 31cm. The area of the sector will be

58.5 cm²

40 cm²

49 cm²

45 cm²

Question 16 of 20

17. A circular disc of radius 6 cm is divided into three sectors with central angles 90°, 120° and 150°. The ratio of the areas of the three sectors is

4: 5: 6

2: 3: 4

3: 4: 5

1: 5: 6

Question 17 of 20

18. If the area of a sector POK is 100π sq.units and ∠POK = 49° , then find the radius of sector

A

B

C

D

Question 18 of 20

19. What is the area of a regular hexagon inscribed in a circle of radius r units?

A

B

C

D

Question 19 of 20

20. Area of a sector of a circle of radius 36 cm is 54π cm². The length of the corresponding arc of the sector is:

3π cm

2π cm

5π cm

4π cm

Question 20 of 20

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