This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Circles > Class 10 Maths Chapter 10 Circles – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 10 Circles Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Circle A has a radius of 21 meters. What is its circumference? A) 207.05. B) 103.53. C) 131.88. D) 65.94. Show Answer Correct Answer: C) 131.88. 2. The length of the complete circle is called its A) Area. B) Diameter. C) Radius. D) Circumference. Show Answer Correct Answer: D) Circumference. 3. 6The quadrilateral whose all its sides are equal and angles are equal to 90 degrees, it is called: A) Rectangle. B) Square. C) Rhombus. D) None. Show Answer Correct Answer: B) Square. 4. When does both segments and both sectors become equal? A) D) When chord = radius. B) B) When radius = 2 * chord. C) C) When two arcs are unequal. D) When two arcs are equal. Show Answer Correct Answer: D) When two arcs are equal. 5. What is the formula for the circumference of a circle? A) $2\pi d$. B) $\pi r$. C) $3.14\pi$. D) $\pi d$. Show Answer Correct Answer: D) $\pi d$. 6. Which of the following is closest to the diameter of a circle with an area of 78.5 inches$^{2}$? A) 2.8 inches. B) 5 inches. C) 10 inches. D) 5.6 inches. E) None of these. Show Answer Correct Answer: C) 10 inches. 7. What is a Major Arc? A) An arc measuring greater than 180 degrees. B) An arc measuring less than 180 degrees. C) An angle formed by two radii. D) A line segment whose endpoints both lie on the circle. Show Answer Correct Answer: A) An arc measuring greater than 180 degrees. 8. Which angle is formed inside a circle by two intersecting chords? A) Exterior angle. B) Central angle. C) Inscribed angle. D) Interior angle. Show Answer Correct Answer: D) Interior angle. 9. The definition of a circle is ..... A) Set of all points in a plain that are the same distance from a point called the center. B) A large figure. C) The distance around a polygon. D) A pizza, orange, plum, or watermelon. Show Answer Correct Answer: A) Set of all points in a plain that are the same distance from a point called the center. 10. The equation of a circle is x$^{2 }$+ y$^{2 }$+ 6x-12y + 20 = 0. Write the equation in standard form. A) (x + 3)$^{2}$ + (y-6)$^{2}$ = 5. B) (x-3)$^{2}$ + (y + 6)$^{2}$ = 25. C) (x + 3)$^{2}$ + (y-6)$^{2}$ = 25. D) (x-3)$^{2}$ + (y + 6)$^{2}$ = 45. Show Answer Correct Answer: C) (x + 3)$^{2}$ + (y-6)$^{2}$ = 25. 11. If the diameter of a circle is 10 mm, the circumference is approximately ..... A) 314 mm. B) 31.4 mm. C) 20 mm. D) 3.14 mm. Show Answer Correct Answer: B) 31.4 mm. 12. What formula do you use to find the circumference of a circle? A) $3.14r^2$. B) $l\times w$. C) $2\times3.14r$. D) $\frac{1}{2}bh$. Show Answer Correct Answer: C) $2\times3.14r$. 13. If the diameter of a circle is 50 yards, the radius is ..... A) 150 yards. B) 25 yards. C) 100 yards. D) 15 yards. Show Answer Correct Answer: B) 25 yards. 14. The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle. A) (x + 5)$^{2 }$+ (y-2)$^{2 }$= 36. B) (x + 2)$^{2 }$+ (y-5)$^{2 }$= 6. C) (x-2)$^{2 }$+ (y + 5)$^{2 }$= 36. D) (x-5)$^{2}$ + (y + 2)$^{2}$ = 6. Show Answer Correct Answer: A) (x + 5)$^{2 }$+ (y-2)$^{2 }$= 36. 15. The diameter of the face-off circle on an ice-hockey rink is 30 feet. Find its area. A) 675.6 ft$^{2}$. B) 706.5 ft$^{2}$. C) 29.67 ft$^{2}$. D) 545.8 ft$^{2}$. Show Answer Correct Answer: B) 706.5 ft$^{2}$. 16. Find the circumference of a circle with a diameter of 10 m. A) 31.4 m. B) 314 m. C) 3.14 m. D) None of the above. Show Answer Correct Answer: A) 31.4 m. 17. Area of a Sector A) $\frac{\theta}{360}\pi r^2$. B) $\frac{\theta}{720}4\pi r^2$. C) $\frac{\theta}{720}2\pi r^2$. D) First and third only. Show Answer Correct Answer: D) First and third only. 18. A circle has a radius of 15. A chord is drawn that is 9 cm from its center. What is the length of this chord? A) 35. B) 24. C) 17.5. D) 12. Show Answer Correct Answer: B) 24. 19. A circle can have ..... parallel sides at most A) Infinitely many. B) May be four. C) Only one. D) Two. Show Answer Correct Answer: D) Two. 20. This type of arc always measures more than 180 degrees. A) Noah's Ark. B) Intercepted arc. C) Major arc. D) Minor arc. Show Answer Correct Answer: C) Major arc. 21. A given point directly in the middle of a circle. A) Center. B) Radius. C) Diameter. D) Point. Show Answer Correct Answer: A) Center. 22. When using the area of a circle formula, can I plug in the diameter? A) Yes, of course!. B) No way, Jose!. C) All the above. D) None of the above. Show Answer Correct Answer: B) No way, Jose!. 23. It is a part of a line which has two endpoints. A) Line segment. B) Point. C) Ray. D) Circle. Show Answer Correct Answer: A) Line segment. 24. An angle whose vertex is the at the center of a circle. A) Inscribed Angle. B) Obtuse Angle. C) Acute Angle. D) Central Angle. Show Answer Correct Answer: D) Central Angle. 25. Each time Tamia turned the dial on the machine, the dial moved 1 degree. Tamia turned the dial 52 times. What is the total number of degrees the dial moved? A) 90 degrees. B) 52 degrees. C) 270 degrees. D) 180 degrees. Show Answer Correct Answer: B) 52 degrees. 26. If the diameter is 9 what is the circumference using the formula c= 3.14 x d? A) 18. B) 81. C) 28.26. D) 27. Show Answer Correct Answer: C) 28.26. 27. What is the equation of a circle, given the center is (-2, 3) and the radius is 4? A) (x+2)$^{2}$ + (y-3)$^{2}$ = 16. B) (x+2)$^{2}$ + (y-3)$^{2}$ = 2. C) (x-2)$^{2}$ + (y+3)$^{2}$ = 16. D) (x-2)$^{2}$ + (y-3)$^{2}$ = 2. Show Answer Correct Answer: A) (x+2)$^{2}$ + (y-3)$^{2}$ = 16. 28. The angle subtended by the diameter of a semi-circle is: A) 45. B) 180. C) 90. D) 60. Show Answer Correct Answer: C) 90. 29. What is a central angle? A) An angle formed by 2 chords and its vertex lies on the circle. B) An angle formed by two radii whose vertex is the center of the circle. C) An angle that measures 90 degrees. D) An angle that intersects the circle at a tangent. Show Answer Correct Answer: B) An angle formed by two radii whose vertex is the center of the circle. 30. The diameter is 8 inches. What is the radius? A) 4 inches. B) 2 inches. C) 3 inches. D) 6 inches. Show Answer Correct Answer: A) 4 inches. 31. What is the measure of an angle formed by two chords? A) Half the sum of the measures of the intercepted arcs. B) Equal to the measure of the smaller intercepted arc. C) Equal to the measure of the larger intercepted arc. D) Twice the sum of the measures of the intercepted arcs. Show Answer Correct Answer: A) Half the sum of the measures of the intercepted arcs. 32. A circle has a diameter of 15.3 mi. What is the circumference of the circle? A) 48.042 mi. B) 735.0426 mi. C) 183.76065 mi. D) 24.021 mi. Show Answer Correct Answer: A) 48.042 mi. 33. A coffee mug has a diameter of 6 cm. What is the mug's radius? A) 3 cm. B) 2 cm. C) 6 cm. D) 12 cm. Show Answer Correct Answer: A) 3 cm. 34. What is the circumference of a circle with a diameter of 40 in? A) 35.17 in. B) 47.17 in. C) 28.67 in. D) 125.6 in. Show Answer Correct Answer: D) 125.6 in. 35. A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area? A) 29.55 m$^{2}$. B) 30.36 m$^{2}$. C) 31.25 m$^{2}$. D) 28.26 m$^{2}$. Show Answer Correct Answer: D) 28.26 m$^{2}$. 36. A merry-go-round has a circular platform with a radius of 2 meters. What is the platform's diameter? A) 16 meters. B) 8 meters. C) 2 meters. D) 4 meters. Show Answer Correct Answer: D) 4 meters. 37. A segment that touches a circle at exactly one point. A) Tangent. B) Chord. C) Segment. D) Secant. Show Answer Correct Answer: A) Tangent. 38. Area of a semi-circle A) $\frac{1}{2}\pi r$. B) $\frac{1}{4}\pi r^2$. C) $\frac{1}{2}\pi r^2$. D) None of the above. Show Answer Correct Answer: C) $\frac{1}{2}\pi r^2$. 39. The distance from one endpoint to another that passes through the center of a circle A) Diameter. B) Circumference. C) Radius. D) Circle. Show Answer Correct Answer: A) Diameter. 40. If angles A, B, C and D of a quadrilateral ABCD, taken in order, are in the ratio 3:7:6:4, then ABCD is a A) Square. B) Rectangle. C) Trapezium. D) Rhombus. Show Answer Correct Answer: C) Trapezium. 41. If the diameter of a circle is 18 cm, what is the length of the radius? A) 6 cm. B) 36 cm. C) 9 cm. D) 3 cm. Show Answer Correct Answer: C) 9 cm. 42. A minute hand (radius) of a clock is 13.8 meters long. What is the circumference of the clock? A) 76.66 meters. B) 96.66 meters. C) 66.66 meters. D) 86.66 meters. Show Answer Correct Answer: D) 86.66 meters. 43. A circle has a radius of 10 inches. What is the circumference? Use 3.14 for $\pi$ A) 31.4 inches. B) 6.28 inches. C) 62.8 inches. D) 314 inches. Show Answer Correct Answer: C) 62.8 inches. 44. The diameter of a circle is ..... the radius A) 3.14 times. B) Twice. C) 10 times. D) Half. Show Answer Correct Answer: B) Twice. 45. The advertised size of a pizza is the diameter of the pizza. Which is the closest to the area of the crust of a 15-inch pizza? A) 47 squared inches. B) 707 square inches. C) 177 squared inches. D) 225 squared inches. Show Answer Correct Answer: C) 177 squared inches. 46. Which would be needed to calculate the distance around a circular track? A) Area. B) Circumference. C) Volume. D) None of the above. Show Answer Correct Answer: B) Circumference. 47. If there are two separate circles drawn apart from each other, then the maximum number of common points they have: A) 2. B) 0. C) 1. D) 3. Show Answer Correct Answer: B) 0. 48. The sum of the areas of all the surfaces (faces) of a three-dimensional figure A) Surface area. B) Diameter. C) Cylinder. D) Pi. Show Answer Correct Answer: A) Surface area. 49. The centre of a circle lies in ..... of the circle. A) Boundary. B) Exterior. C) Interior. D) None of these. Show Answer Correct Answer: C) Interior. 50. Jalen is making a circular pizza with a circumference of 44 inches. What is the approximate radius of Jalen's pizza? A) 28 in. B) 7 in. C) 22 in. D) 14 in. Show Answer Correct Answer: B) 7 in. 51. It is a set of points that are equidistant to one fixed point. A) Diameter. B) Chord. C) Center. D) Circle. Show Answer Correct Answer: D) Circle. 52. The longest chord of a circle is called A) Sector. B) Arc. C) Diameter. D) Segment. Show Answer Correct Answer: C) Diameter. 53. What is the standard equation of a circle? A) (x-k)$^{2}$ + (y-h)$^{2}$ = r$^{2}$. B) (x+h)$^{2}$ + (y+k)$^{2}$ = r$^{2}$. C) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. D) (k-x)$^{2}$ + (h-y)$^{2}$ = r$^{2}$. Show Answer Correct Answer: C) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. 54. Amy attaches her A+ test to the refrigerator with a circular magnet. Out of curiosity, she measures the magnet and calculates that it has a radius of 3 cm. What is the magnet's circumference? A) 18.84 cm. B) 9.42 cm. C) 28.26 cm. D) 188.4 cm. Show Answer Correct Answer: A) 18.84 cm. 55. A clock face has a diameter of 10 inches. What is the approximate area of the clock face in square inches? A) 7.85 in$^{2}$. B) 314 in$^{2}$. C) 31.4 in$^{2}$. D) 78.5 in$^{2}$. Show Answer Correct Answer: D) 78.5 in$^{2}$. 56. The circumference is 30 inches. What is the diameter? A) 11 inches. B) 9 inches. C) 10 inches. D) 8 inches. Show Answer Correct Answer: C) 10 inches. 57. What is the area of a right triangle with a base of 10 cm and a height of 4 cm? A) 14 cm$^{2}$. B) 20 cm$^{2}$. C) 40 cm$^{2}$. D) 28 cm$^{2}$. Show Answer Correct Answer: B) 20 cm$^{2}$. 58. A portion of a circle between two points are called A) Circumference. B) Semi circle. C) Segment. D) Arc. Show Answer Correct Answer: D) Arc. 59. An arc whose endpoints of the circles diameter (half the circle). A) Arc. B) Moon. C) Circumference. D) Semicircle. Show Answer Correct Answer: D) Semicircle. 60. Jacob has a round tablecloth with a radius of 1 meter. What is the tablecloth's area? A) 62.8 meters. B) 31.4 meters. C) 6.28 meters. D) 3.14 meters. Show Answer Correct Answer: D) 3.14 meters. ← PreviousNext →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 10 Circles Quiz 1Class 10 Maths Chapter 10 Circles Quiz 3Class 10 Maths Chapter 10 Circles Quiz 4Class 10 Maths Chapter 10 Circles Quiz 5Class 10 Maths Chapter 10 Circles Quiz 6Class 10 Maths Chapter 10 Circles Quiz 7 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books