MCQ Class 10 Areas Related to Circles Set III

1. There will be total 25 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. 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

120°

172°

72°

65°

Question 1 of 25

2. If O is the centre of the circle, and OA and OB are two radii, find the ratio of the area of the sector AOB to the area of the circle, if

1:4

4:1

1:6

6:1

Question 2 of 25

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

conjugate angles

complementary angles

supplementary angles

Reflex angles

Question 3 of 25

4. If PQRS is a square of side 14 cm and PAQ and SAR are semi-circles, then the area of the shaded region is

60 cm²

42 cm²

80 cm²

35 cm²

Question 4 of 25

5. A park is in the form of a rectangle 120m by 90 m. At the centre of the park there is a circular lawn as shown in the figure. If the area of the park excluding the lawn is 2950 m2, then the radius of the circular lawn will be

50 m

60 m

35 m

40 m

Question 5 of 25

6. If the circumference of a circle of radius 'r' and the perimeter of square of side 'a' are equal, then the ratio of area of the circle to that of the square is:

π² : 16

π : 4

4 : π

π² : 4

Question 6 of 25

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

17.25 cm²

3.5 cm²

9.625 cm²

3.5 cm

Question 7 of 25

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

45 cm²

40 cm²

58.5 cm²

49 cm²

Question 8 of 25

9. If the perimeter of a sector of a circle of radius 5.2 cm. is 16.4 cm. What multiple of the radius is the area of the sector?

3^rd

2^nd

4^th

5^th

Question 9 of 25

10.

77.5 cm²

70 cm²

66 cm²

66.5 cm²

Question 10 of 25

11. 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

30 m²

77 m²

Question 11 of 25

12.

11/7

3.14

33/6

4.13

Question 12 of 25

13. The area of a circular pizza is 616 cm². Its diameter is

20 cm

14 cm

28 cm

35 cm

Question 13 of 25

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

conjugate angles

Reflex angles

supplementary angles

complementary angles

Question 14 of 25

15. 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

Question 15 of 25

16. 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

28 cm²

112 cm²

60 cm²

35 cm²

Question 16 of 25

17. If the perimeter and area of a circle are numerically equal, then the
radius of the circle is

2 units

π units

7 units

4 units

Question 17 of 25

18. The outer and inner diameters of a circular ring are 34 cm and 32 cm respectively. The area of the ring is:

29π cm²

60π cm²

66π cm²

33π cm²

Question 18 of 25

19. If the side of an equilateral triangle and the radius of a circle are equal, find the ratio of their areas.

Question 19 of 25

20. 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

28 cm²

60 cm²

112 cm²

35 cm²

Question 20 of 25

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

Question 21 of 25

22. The length of the line that marks out a circle and its region is the

Circumference

Chord

Radius

Diameter

Question 22 of 25

23. In the given figure, O is the centre of the circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, the area of shaded portion will be