This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Areas Related To Circles > Class 10 Maths Chapter 12 Areas Related To Circles – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 12 Areas Related To Circles Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The wheel of a motor cycle is of radius 35 cm. How many revolutions per minute must the wheel make so as to keep a speed of 66 km/h? A) 450. B) 400. C) 500. D) 300. Show Answer Correct Answer: C) 500. 2. Shaan is designing a circular garden and decides to create a sector of the garden that has an angle of 90$^\circ$. What is the ratio of the area of the entire garden to the area of the sector? A) 1:2. B) 4:1. C) 1:4. D) 2:3. Show Answer Correct Answer: B) 4:1. 3. The circumference of a circle is equal to the sum of the circumferences of two circles having diameters 36 cm and 20 cm. The radius of the new circle is A) 16 cm. B) 28 cm. C) 56 cm. D) 42 cm. Show Answer Correct Answer: B) 28 cm. 4. If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is A) 4 units. B) 6 units. C) 2 units. D) 8 units. Show Answer Correct Answer: D) 8 units. 5. Angle of the sector is 90$^\circ$then the ratio of Area of circle to area of sector is A) 1:3. B) 1:4. C) 1:2. D) 4:1. Show Answer Correct Answer: D) 4:1. 6. The coordinates of which divides the line segment joining the points (3, -4) and (-2, 5) in the ratio 1:3 is ..... A) (7/4, -7/4). B) (-7/4, 7/4). C) (-7/4, -7/4). D) (7/4, 7/4). Show Answer Correct Answer: A) (7/4, -7/4). 7. In a $\Delta$ $\angle A$ $\perp$ A) 60/13 cm. B) 13/60 cm. C) 2 $\sqrt[]{15}$. D) 13/2 cm. Show Answer Correct Answer: A) 60/13 cm. 8. If the perimeter of a semicircular protractor is 36 cm, find its diameter. A) 14 cm. B) 7 cm. C) 28 cm. D) 3.5 cm. Show Answer Correct Answer: A) 14 cm. 9. The region between the chord and the corresponding arc is called A) Sector. B) Segment. C) Quadrant. D) Circumference. Show Answer Correct Answer: B) Segment. 10. Area of a sector with central angle $\theta$ A) $\frac{\theta}{360}\times\pi r^2$. B) $\frac{\theta}{360}\times2\pi r$. C) $\frac{\theta}{360}\times\pi d$. D) None of the above. Show Answer Correct Answer: A) $\frac{\theta}{360}\times\pi r^2$. 11. The longest chord passing through centre and whose end point lies on circle is called ..... A) Major chord. B) Circumference. C) Diameter. D) Major arc. Show Answer Correct Answer: C) Diameter. 12. The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km? A) 5500. B) 2800. C) 7000. D) 4000. Show Answer Correct Answer: C) 7000. 13. On decreasing the radius of a circle by 30%, its area is decreased by A) 30%. B) 60%. C) 45%. D) None of these. Show Answer Correct Answer: D) None of these. 14. The line joining any two points on the circle is ..... of the circle. A) Chord. B) Area. C) Sector. D) Radius. Show Answer Correct Answer: A) Chord. 15. What is the formula for the area of segment of a circle? A) Area of the corresponding sector + Area of the corresponding triangle. B) Area of the corresponding sector / Area of the corresponding triangle. C) Area of the corresponding sector * Area of the corresponding triangle. D) Area of the corresponding sector-Area of the corresponding triangle. Show Answer Correct Answer: D) Area of the corresponding sector-Area of the corresponding triangle. 16. 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 A) 500. B) 1000. C) 100. D) 50. Show Answer Correct Answer: A) 500. 17. Manu looks at a clock at 3 pm, again he looks at clock, then it was 7 pm what is the area sweeped by the hour hand of the clock if the length of hour hand is 5cm A) 26.18 $m^2$. B) 26.18 $dm^2$. C) 26.18 $cm^2$. D) 26.18 $mm^2$. Show Answer Correct Answer: C) 26.18 $cm^2$. 18. If the perimeter and the area of a circle are numerically equal, then the radius of the circle is A) 2 Units. B) 7 Units. C) 4 Units. D) 3 Units. Show Answer Correct Answer: A) 2 Units. 19. The probability of a non-leap year having 53 Mondays is A) $\frac{1}{7}$. B) $\frac{2}{7}$. C) $1$. D) $\frac{3}{7}$. Show Answer Correct Answer: A) $\frac{1}{7}$. 20. The region bounded by two radii and corresponding arc of a circle is A) Area. B) Sector. C) Segment. D) Perimeter. Show Answer Correct Answer: B) Sector. 21. 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 A) 7m. B) P. Kin. C) Taste. D) 56m. Show Answer Correct Answer: A) 7m. 22. What is the area of a minor segment of a circle? A) Area of sector + Area of triangle. B) Area of sector-Area of triangle. C) Area of circle-Area of triangle. D) Area of triangle-Area of sector. Show Answer Correct Answer: B) Area of sector-Area of triangle. 23. Area of square inscribed in a circle of unit radius is A) 1 square unit. B) 2 square unit. C) 3 square unit. D) 4 square unit. Show Answer Correct Answer: B) 2 square unit. 24. Diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is A) 50 cm. B) 31 cm. C) 64 cm. D) 25 cm. Show Answer Correct Answer: A) 50 cm. 25. What will be the area of the major sector of a circle, if minor arc subtends an angle of 30 degrees and area of circle is 50 square centimeters? A) 4.583 $cm^2$. B) 0.4583 $cm^2$. C) 458.3 $cm^2$. D) 45.83 $cm^2$. Show Answer Correct Answer: D) 45.83 $cm^2$. 26. (0, 0), (3, 0) and (0, -3) forms ..... triangle. A) Isosceles. B) Right. C) Both. D) None. Show Answer Correct Answer: C) Both. 27. The radii of two circles are 19 cm and 9 cm respectively. The radius of the circle which has circumference equal to the sum of the circumference of two circles is A) 28 cm. B) 35 cm. C) 21 cm. D) 10 cm. Show Answer Correct Answer: A) 28 cm. 28. In a right angled triangle ABC, right angled at B, BC = 12 cm and AB = 5 cm. The radius of the circle inscribed in the triangle is A) 4 cm. B) 3 cm. C) 1 cm. D) 2 cm. Show Answer Correct Answer: D) 2 cm. 29. The perimeter (in cm ) of a square circumscribing a circle of radius a cm, is A) 16 a. B) 8 a. C) 2 a. D) 4 a. Show Answer Correct Answer: C) 2 a. 30. If angle of sector is 60$^\circ$, radius is 3.5 cm then length of the arc is A) 3.66 cm. B) 3 cm. C) 3.8 cm. D) 3.5 cm. Show Answer Correct Answer: A) 3.66 cm. 31. The largest triangle inscribed in a semi-circle of radius r, then the area of that triangle is; A) $2r^2$. B) $r^2$. C) $\frac{1}{2}r^2$. D) $ \sqrt {2} r^2 $. Show Answer Correct Answer: B) $r^2$. 32. Number of types of sectors in a circle are A) 3. B) 4. C) 2. D) 1. Show Answer Correct Answer: C) 2. 33. The diameters of front and rear wheels of a tractor are 80 cm and 2 m, respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions. A) 460. B) 760. C) 630. D) 560. Show Answer Correct Answer: D) 560. 34. What is the fixed point called in a circle? A) Radius. B) Circumference. C) Diameter. D) Centre. Show Answer Correct Answer: D) Centre. 35. If AB is a chord of length 5 $\sqrt[]{3}$ A) 25 $\pi$. B) 25 $\pi$. C) 3 $\pi$. D) 8 $\pi$. Show Answer Correct Answer: A) 25 $\pi$. 36. The circumferences of two circles are in the ratio 3:4. The ratio of their areas is A) 16:9. B) 9:16. C) 4:3. D) 3:4. Show Answer Correct Answer: B) 9:16. 37. The distance around a circle A) Radius. B) Area. C) Circumference. D) Diameter. Show Answer Correct Answer: C) Circumference. 38. If the area of a circle is 154 cm2, then its perimeter is A) 55 cm. B) 22 cm. C) 44 cm. D) 11 cm. Show Answer Correct Answer: C) 44 cm. 39. If a wire is bent into the shape of a square the area is $81cm^2$ A) 22 $cm^2$. B) 44 $cm^2$. C) 154 $cm^2$. D) 77 $cm^2$. Show Answer Correct Answer: D) 77 $cm^2$. 40. The perimeter of a circular field is 242 m. The area of the field is A) 9317 $m^2$. B) 18634 $m^2$. C) 4658.5 $m^2$. D) None of these. Show Answer Correct Answer: C) 4658.5 $m^2$. 41. The perimeter of the sector with a radius of 10.5 cm and sector angle of 60$^\circ$ is ..... A) 41 cm. B) 11 cm. C) 32 cm. D) 23 cm. Show Answer Correct Answer: C) 32 cm. 42. If the area of minor sector of a circle and the length of arc of the corresponding sector are numerically equal, then the radius of the circle is A) 4 units. B) 2 units. C) 3 units. D) 1 units. Show Answer Correct Answer: B) 2 units. 43. If the perimeter of a circle is equal to that of square, then the ratio of the area of circle to square is A) 14:11. B) 22:7. C) 11:14. D) 7:22. Show Answer Correct Answer: A) 14:11. 44. (2, 3), (3, 5) and(0, -1) are ..... A) Collinear. B) Non collinear. C) We can nott say. D) None. Show Answer Correct Answer: A) Collinear. 45. The point on x-axis which is equidistant from points A(-1, 0) and B (5, 0) is A) (2, 0). B) (3, 0). C) (0, 3). D) (0, 2). Show Answer Correct Answer: A) (2, 0). 46. If the circumference of two circles are equal then their areas are necessarily equal A) Always True. B) Always false. C) Some times true. D) None of the above. Show Answer Correct Answer: A) Always True. 47. The perimeter of a square circumscribing a circle of radius 'a' units is ..... A) 4A Units. B) 8a units. C) 2a units. D) 16a units. Show Answer Correct Answer: B) 8a units. 48. The area of the circle that can be inscribed in a square of side 6 cm is A) 12 p cm $^{2} $. B) 9 p cm $^{2} $. C) 36 P cm $^{2} $. D) 18 p cm $^{2} $. Show Answer Correct Answer: B) 9 p cm $^{2} $. 49. A card is drawn from a well-shuffled deck of 52 playing cards. The probability that the card will not be an ace is A) $\frac{3}{4}$. B) $\frac{1}{4}$. C) $\frac{12}{13}$. D) $\frac{1}{13}$. Show Answer Correct Answer: C) $\frac{12}{13}$. 50. Complete the statement:The Numerical value of the area of a circle is ..... than the numerical value of its circumference. A) Greater. B) Smaller. C) All the above. D) None of the above. Show Answer Correct Answer: B) Smaller. 51. The ratio of the areas of the in-circle and circumcircle of a square is A) 1:3. B) 1:4. C) 1:2. D) $1\:\\sqrt{2}$. Show Answer Correct Answer: C) 1:2. 52. $\frac{1}{4}\times\frac{\theta}{360}\times\pi r^2$ A) Area of the half of the circle. B) Area of three quadrant of the circle. C) Area of the quadrant of the circle. D) Area of the circle. Show Answer Correct Answer: C) Area of the quadrant of the circle. 53. The portion of the circular region enclosed by two radii and the corresponding arc is called as? A) Segment. B) Chord. C) Sector. D) None of the above. Show Answer Correct Answer: C) Sector. 54. 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 A) $\frac{77}{2}m^2$. B) 154 $m^2$. C) $\frac{77}{4}m^2$. D) $ Ham^A $. Show Answer Correct Answer: A) $\frac{77}{2}m^2$. 55. If the radius of a circle is doubled, its area becomes A) 8 times. B) 4 times. C) 16 times. D) 2 times. Show Answer Correct Answer: B) 4 times. 56. From a point P outside a circle exactly ..... tangents can be drawn to the circle A) 3. B) 1. C) Many. D) 2. Show Answer Correct Answer: D) 2. 57. If the point C(k, 4) divides the join of the points A(2, 6) and B(5, 1) in the ratio 2:3, then the value of k is A) 16. B) $\frac{8}{5}$. C) $\frac{16}{5}$. D) $\frac{28}{5}$. Show Answer Correct Answer: C) $\frac{16}{5}$. 58. If the diameter of a semicircular protractor is 14 cm, then its perimeter is ..... A) 9 cm. B) 18 cm. C) 36 cm. D) 27 cm. Show Answer Correct Answer: C) 36 cm. 59. Say 'TRUE' or 'FALSE'The perpendicular at the point of contact of a tangent to a circle passes through the center of the circle A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 60. The area of a sector of a circle with radius 6 cm if the angle of the sector is 60$^\circ$. A) 132/7. B) 142/7. C) 152/7. D) 122/7. Show Answer Correct Answer: A) 132/7. ← PreviousNext →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 12 Areas Related To Circles Quiz 1Class 10 Maths Chapter 12 Areas Related To Circles Quiz 3 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books