This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Circles > Class 10 Maths Chapter 10 Circles – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 10 Circles Quiz 3 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A circle has a radius of 9 inches. What is the circumference of the circle in terms of $\pi$ A) $9\pi$. B) $20\pi$. C) $18\pi$. D) $36\pi$. Show Answer Correct Answer: C) $18\pi$. 2. What is the measure of the angle formed outside the circle by two tangents, two secants, or a secant and a tangent? A) Depends on the specific configuration of the lines. B) Equal to the sum of the angles of a triangle. C) Always 90 degrees. D) Half the difference of the intercepted arcs. Show Answer Correct Answer: D) Half the difference of the intercepted arcs. 3. A circular roller derby rink has a diameter of 95 feet. If a roller derby player skates five laps around the rink, how far has she traveled? A) 1491.5 ft. B) 475 ft. C) 745.75 ft. D) 2983 ft. Show Answer Correct Answer: A) 1491.5 ft. 4. T'Nya moved the hand of a spinner 164 degrees. What fraction of a complete turn through a circle is 164 degrees? A) 1/360. B) 90/360. C) 164/360. D) 360/360. Show Answer Correct Answer: C) 164/360. 5. Zoe is playing a game where she needs to find a treasure hidden at a point on the circle described by the equation (x+4)$^{2}$+(y-1)$^{2}$=25. Which point is the location of the treasure? A) (5, 5). B) (-1, -1). C) (-4, 1). D) (-4, 6). Show Answer Correct Answer: D) (-4, 6). 6. The radius of the circle is 22 cm, what is the circles diameter? A) 44 cm. B) 22 cm. C) 11 cm. D) 7 cm. Show Answer Correct Answer: A) 44 cm. 7. What is the center and radius of a circle with an equation (x+2)$^{2}$ + (y+4)$^{2}$ = 1 A) Center is (2, 4) and radius is 1. B) Center is (2, -4) and radius is 1. C) Center is (-2, 4) and radius is 1. D) Center is (-2, -4) and radius is 1. Show Answer Correct Answer: D) Center is (-2, -4) and radius is 1. 8. The distance around a circle is called its: A) Area. B) Circumference. C) Diameter. D) Radius. Show Answer Correct Answer: B) Circumference. 9. A circle has a diameter of 6ft. What is the circumference of the circle? A) 18.84 ft. B) 113.04 ft. C) 36 ft. D) None of the above. Show Answer Correct Answer: A) 18.84 ft. 10. Area of Major Segment is equal to A) Area of Minor Sector + Area of Major Sector. B) Area of Circle-Area of Minor Segment. C) All the above. D) None of the above. Show Answer Correct Answer: B) Area of Circle-Area of Minor Segment. 11. A diameter is a chord. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 12. The distance from the center of a circle to a point on the circle. Endpoints are the center and a point on the circle. A) Circumference. B) Segment Length. C) Radius. D) Diameter. Show Answer Correct Answer: C) Radius. 13. A segment whose endpoints are points on the circle. A) Angle. B) Tangent. C) Secant. D) Chord. Show Answer Correct Answer: D) Chord. 14. Mike has a round trampoline with a diameter of 2 meters. What is the trampoline's circumference? A) 6.28 meters. B) 3.14 meters. C) 7.14 meters. D) 62.8 meters. Show Answer Correct Answer: A) 6.28 meters. 15. What is the center of a circle with equation (x-4)$^{2}$ + y$^{2}$ = 5? A) (-4, 0). B) (4, 0). C) (-4, 1). D) (4, 1). Show Answer Correct Answer: B) (4, 0). 16. In the equation (x+2)$^{2}$+(y+3)$^{2}$=49, the radius of the circle is ..... A) 49. B) 7. C) 14. D) 98. Show Answer Correct Answer: B) 7. 17. If a parallelogram circumscribes a circle, then it is a: A) Square. B) Rectangle. C) Rhombus. D) None of the above. Show Answer Correct Answer: C) Rhombus. 18. The angle inscribed in a semicircle is always a ..... A) Straight angle. B) Semicircle. C) Acute angle. D) Right angle. Show Answer Correct Answer: D) Right angle. 19. Tony wants to make a circular pool in this yard and put a low fence around the edge. What is the largest area pond Tony can make if he has 94 feet of fencing? Round to the nearest hundredth as you solve. A) 21.66 square feet. B) 15.92 square feet. C) 468.98 square feet. D) 703.67 square feet. Show Answer Correct Answer: D) 703.67 square feet. 20. If the radius of a circle is 5 feet, what is the area? A) 78.5 feet squared. B) 25 feet squared. C) 15.7 feet squared. D) Answer Not Here. Show Answer Correct Answer: A) 78.5 feet squared. 21. Find the EXACT area of a circle whose circumference is $50\pi$ A) $50\pi$. B) $5\pi$. C) $25\pi$. D) $625\pi$. Show Answer Correct Answer: D) $625\pi$. 22. Meg swam from one side of her circular pool to the other side going through the center. If Meg swam 8 feet, what is the approximate circumference of Meg's pool? A) 251.2 feet. B) 4 feet. C) 16 feet. D) 25.12 feet. Show Answer Correct Answer: D) 25.12 feet. 23. The ratio of the circumference of a circle to its diameter. The Greek letter Pi represents the number, the value of Pi is approximately 3.14 and 22/7 A) Circumference. B) Surface area. C) Center. D) Pi. Show Answer Correct Answer: D) Pi. 24. You just finished planting avocados, carrots, radishes, tomatoes, and spinach in her new garden. The garden is a circle whose diameter is 50 yards. If you planted equal regions of each vegetable, what is the area of your garden has carrots? A) $500\pi$. B) $625\pi$. C) $125\pi$. D) $2500\pi$. Show Answer Correct Answer: C) $125\pi$. 25. If a circle is divided into three equal arcs, each is a ..... arc. A) Minor. B) Major. C) Semicircle. D) None of these. Show Answer Correct Answer: A) Minor. 26. The radius of a circle is (a) the diameter. A) A. half. B) Twice. C) Triple. D) None of the above. Show Answer Correct Answer: A) A. half. 27. An angle is a(n) ..... if the vertex is on a circle and the sides of the angle are shords of the circle. A) Intercepted angle. B) Inscribed angle. C) Acute angle. D) Right angle. Show Answer Correct Answer: B) Inscribed angle. 28. The endpoints of a diameter of a circle are (3, 1) and (9, 5).Find the equation of the circle? A) (x-9)$^{2}$+(y-5)$^{2}$=169/4. B) (x-6)$^{2}$+(y-3)$^{2}$=13. C) (x-5)$^{2}$+(y-9)$^{2}$=13. D) (x-3)$^{2}$+(y-6)$^{2}$=13$^{2}$. Show Answer Correct Answer: B) (x-6)$^{2}$+(y-3)$^{2}$=13. 29. Determine the center and radius:x$^{2 }$+ y$^{2 }$-10x + 8y-8 = 0 A) C = (-5, 4) r = 7. B) C = (5, -4) r = 7. C) C = (5, -4) r = 49. D) C = (-4, 5) r = 49. Show Answer Correct Answer: B) C = (5, -4) r = 7. 30. What formula do you use to find the AREA of a circle? A) $l\times w$. B) $3.14r^2$. C) $\frac{1}{2}bh$. D) $2\times3.14r$. Show Answer Correct Answer: B) $3.14r^2$. 31. Two chords of a circles bisect each other.Then they must be A) Diameter. B) Tangents. C) Secants. D) None. Show Answer Correct Answer: A) Diameter. 32. How much fencing is needed to enclose a circular pond with diameter 12.5 feet? A) 78.5 feet. B) 39.25 feet. C) 19.625 feet. D) 37.5 feet. Show Answer Correct Answer: B) 39.25 feet. 33. The ratio of a circles circumference to its diameter A) Radius. B) Pi. C) Circumference. D) Area. Show Answer Correct Answer: B) Pi. 34. The sum of either pair of opposite angles of a cyclic quadrilateral is ..... A) 60$^{0}$. B) 90$^{0}$. C) 180$^{0}$. D) 360$^{0}$. Show Answer Correct Answer: C) 180$^{0}$. 35. What is a straight line that goes through the center of a circle from side to opposite side? A) Radius. B) Diameter. C) Center. D) Circumference. Show Answer Correct Answer: B) Diameter. 36. What does (h, k) standard for in the standard circle equation? A) (h, k) is the center of the circle. B) (h, k) is a point on the circle. C) (h, k) is a point that we guess and find. D) (h, k) is the distance of the circle. Show Answer Correct Answer: A) (h, k) is the center of the circle. 37. Tom measured his frisbee from the center to the outside and found it to be 6 inches. What is the approximate circumference of Tom's frisbee? A) 37.68 inches. B) 3 inches. C) 376.8 inches. D) 12 inches. Show Answer Correct Answer: A) 37.68 inches. 38. What is the circumference of a circle with a diameter of 56 m? A) 176.8 m. B) 165.8 m. C) 186.8 m. D) 175.8 m. Show Answer Correct Answer: D) 175.8 m. 39. A certain coin is a circle with diameter 18 mm. What is the exact area of either face of the coin? A) $18\pi$. B) $9\pi$. C) $81\pi$. D) $324\pi$. Show Answer Correct Answer: C) $81\pi$. 40. To find the circumference of a circle, you must multiply the ..... by 3.14. A) Circumference. B) Diameter. C) Area. D) Radius. Show Answer Correct Answer: B) Diameter. 41. A bicycle tire has a diameter of 27 inches. How far does the bike travel along the ground when the wheel rotates once? What is the circumference of this tire? A) 84.78. B) 76.27. C) 83.65. D) 81.78. Show Answer Correct Answer: A) 84.78. 42. In the equation (x-3)$^{2}$+(y+4)$^{2}$=121, the radius of the circle is A) 242. B) 11. C) 121. D) 22TagsG.5A, G.12D. Show Answer Correct Answer: B) 11. 43. The circumference is 62.8 inches. What is the radius? A) 31.4 inches. B) 10 inches. C) 20 inches. D) 6.28 inches. Show Answer Correct Answer: B) 10 inches. 44. What is an Inscribed 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: A) An angle formed by 2 chords and its vertex lies on the circle. 45. Segments with endpoints on a circle are called ..... A) Radii. B) Arcs. C) Polygons. D) Chords. Show Answer Correct Answer: D) Chords. 46. Fill in the blank:The ..... of a circle is the longest chord. A) Tangent. B) Diameter. C) Radius. D) Chord. Show Answer Correct Answer: B) Diameter. 47. Which is true of a minor arc? A) It forms half a circle. B) It measures greater than 180 degrees. C) It forms a whole circle. D) It measures less than 180 degrees. Show Answer Correct Answer: D) It measures less than 180 degrees. 48. In order to convert from general form to standard form, you must ..... A) Multiply out. B) Expand. C) Factor. D) Complete the square. Show Answer Correct Answer: D) Complete the square. 49. A line segment that touches two points on a circle is what? A) Radius. B) Center. C) Chord. D) Circumference. Show Answer Correct Answer: C) Chord. 50. What is the equation of a circle with radius 2 and center (3, 4)? A) (x-3)$^{2}$ + (y-4)$^{2}$ = 4. B) (x+3)$^{2}$ + (y+4)$^{2}$ = 2. C) (x-3)$^{2}$ + (y-4)$^{2}$ = 2. D) (x+3)$^{2}$ + (y+4)$^{2}$ = 4. Show Answer Correct Answer: A) (x-3)$^{2}$ + (y-4)$^{2}$ = 4. 51. A central angle has its vertex ..... A) On the center of the circle. B) On one of the three sides of the circle. C) Outside the circle. D) On the circle. Show Answer Correct Answer: A) On the center of the circle. 52. A segment of the circumference of a circle. A) Tangent. B) Major Arc. C) Tangent. D) Arc. Show Answer Correct Answer: D) Arc. 53. A circle has a radius of 30 cm. What is the circumference of the circle? A) 188.4 cm. B) 2.826 cm. C) 47.1 cm. D) 94.2 cm. Show Answer Correct Answer: A) 188.4 cm. 54. The consecutive angles of a parallelogram is A) Equal. B) Complementary. C) Supplementary. D) None of the above. Show Answer Correct Answer: C) Supplementary. 55. Total Number of Chapters in Class X Mathematics A) 10. B) 14. C) 16. D) None of the Above. Show Answer Correct Answer: D) None of the Above. 56. According to the theorem, what is the relationship between a tangent and the radius at the point of contact? A) They are parallel. B) They are equal. C) They are perpendicular. D) They are congruent. Show Answer Correct Answer: C) They are perpendicular. 57. The radius of a circular clock is 13 centimeters. What is the area? A) 348.99 cm$^{2}$. B) 40.84 cm$^{2}$. C) 530.66 cm$^{2}$. D) 81.68 cm$^{2}$. Show Answer Correct Answer: C) 530.66 cm$^{2}$. 58. Daniel wants to buy cookies for her friend. Theradius of a cookie is 5 inches. What is the distance around the cookie? A) 2.5 in. B) 15.7 in. C) 10 in. D) 31.4 in. Show Answer Correct Answer: D) 31.4 in. 59. Area of a Quadrant A) $\frac{90}{360}\pi r^2$. B) $\frac{1}{4}\pi r^2$. C) $\frac{\theta}{360}\pi r^2$. D) All the above. E) Only first and second. Show Answer Correct Answer: D) All the above. 60. A circle has a circumference of about 54 in. What is the approximate measure of the diameter? A) 54 in. B) 7 in. C) 25 in. D) 17 in. Show Answer Correct Answer: D) 17 in. ← PreviousNext →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 10 Circles Quiz 1Class 10 Maths Chapter 10 Circles Quiz 2Class 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