# Areas Related to Circles MCQs Mock Test of 10th Class Mathematics

Welcome to your Areas Related to Circles MCQs Mock Test of 10th Class Mathematics

1.
Q 1. The area (in cm²) of the circle that can be inscribed in a square of side 8 cm is

2.
2. The perimeter of a circle having radius 5cm is equal to:

3.
Q 3. If the perimeter of a circle is equal to that of a square, then the ratio of their areas is

4.
Q4. Area of the circle with radius 5cm is equal to:

5.
Q 5. The circumference of two concentric circles forming a ring are 88 cm and 66 cm. Taking π = 227, the width of the ring is

6.
Q6. The largest triangle inscribed in a semi-circle of radius r, then the area of that triangle is;

7.
Q 7. A steel wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent in the form of a circle, then the circumference of the circle is

8.
Q8. If the perimeter of the circle and square are equal, then the ratio of their areas will be equal to:

9.
Q 9. The diameter of a circle whose area is equal to sum of the areas of the two circles of radii 40 cm and 9 cm is

10.
Q10. The area of the circle that can be inscribed in a square of side 8 cm is

11.
Q11. The area of the square that can be inscribed in a circle of radius 8 cm is

12.
Q12. The area of a sector of a circle with radius 6 cm if the angle of the sector is 60°.

13.

14.
Q13. In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. The length of the arc is;

15.
Q14. In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. The area of the sector formed by the arc is:

16.
Q15. Area of a sector of angle p (in degrees) of a circle with radius R is

17.
Q16. If the area of a circle is 154 cm2, then its perimeter is

18.
Q17. If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then

19.
Q18. If θ is the angle (in degrees) of a sector of a circle of radius r, then the length of arc is

20.
Q19. It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be

21.
Q20. The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is

22.
Q21. Find the area of a sector of circle of radius 21 cm and central angle 120°.

23.
Q22. The wheel of a motorcycle is of radius 35 cm. The number of revolutions per minute must the wheel make so as to keep a speed of 66 km/hr will be

24.
Q23. If the perimeter and the area of a circle are numerically equal, then the radius of the circle is

25.
Q24. The area of a quadrant of a circle with circumference of 22 cm is

26.
Q25. In a circle of radius 14 cm, an arc subtends an angle of 30° at the centre, the length of the arc is

27.
Q26. A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 7 m long rope. The area of that part of the field in which the horse can graze, is

28.
Q27. The area of the circle whose diameter is 21 cm is

29.
Q28. The area of the sector of a circle with radius 6 cm and of angle 60° is

30.
Q29. The area of the circle that can be inscribed in a square of side 6 cm is :

31.
Q30. The area of the circle is 154 cm². The radius of the circle is

32.
Q31. If angle of sector is 60°, radius is 3.5 cm then length of the arc is

33.
Q32. If the perimeter of a circle is equal to that of a square, then the ratio of their areas is :

34.
Q33. The area of the square that can be inscribed in a circle of radius 8 cm is

35.
Q34. If the sum of the circumferences of two circles with radii R1 and R2 is equal to the circumference of a circle of radius R, then :

36.
Q35. If the circumference of a circle and the perimeter of a square are equal then :

37.
Q36. Area of the largest triangle that can be inscribed in a semi-circle of radius ‘‘ units is :

38.
Q37. It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be :

39.
Q 38. Perimeter of a sector of a circle whose central angle is 90° and radius 7 cm is

40.
Q 39. The area of a circle that can be inscribed in a square of side 10 cm is

41.
Q40. The perimeter of a square circumscribing a circle of radius a units is

42.
Q 41. The perimeter of the sector with radius 10.5 cm and sector angle 60° is

43.
Q 42. In a circle of diameter 42 cm, if an arc subtends an angle of 60° at the centre, where π = 227 then length of arc is

44.
Q 43. The perimeter of a sector of radius 5.2 cm is 16.4 cm, the area of the sector is

45.
Q 44. If the perimeter of a semicircular protractor is 72 cm where π = 227, then the diameter of protractor is

46.
Q 45. If the radius of a circle is doubled, its area becomes

47.
Q 46. If the sum of the circumferences of two circles with radii R1 and R2 is equal to circumference of a circle of radius R, then

48.
Q 47. The perimeter of a circular and square fields are equal. If the area of the square field is 484 m² then the diameter of the circular field is

49.
Q 48.The radius of sphere is r cm. It is divided into . two equal parts. The whole surface area of two parts will be

50.
Q 49. If the diameter of a semicircular protractor is 14 cm, then its perimeter is .

51.
Q 50. A race track is in the form of a circular ring whose outer and inner circumferences are 396 m and 352 m respectively. The width of the track is