This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Circles > Class 10 Maths Chapter 10 Circles – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 10 Circles Quiz 5 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The portion inside of the circle A) Circumference. B) Area. C) Angle. D) Arc. Show Answer Correct Answer: B) Area. 2. The point from which all points on a circle are the same distance A) Cylinder. B) Center. C) Circumference. D) Diameter. Show Answer Correct Answer: B) Center. 3. Which describes the collection of all points in the same plane that are 8 1/2 inches from Point T? A) Circle T with a radius of 8 1/2 inches. B) Circle T with a diameter of 8 1/2 inches. C) Circle T with radius 17 inches. D) A sphere with center T and radius 8 1/2 inches. Show Answer Correct Answer: A) Circle T with a radius of 8 1/2 inches. 4. If the angles subtended by two chords of a circle or of congruent circles at the centre are equal, the chords are ..... A) Equal. B) Unequal. C) Different. D) None of above. Show Answer Correct Answer: A) Equal. 5. A circle has a diameter of 26 units. Keisha said the area of the circle is 2, 123.27 square units( rounded to the nearest hundredth). Find the correct area of the circle. A) $531$. B) $2, 123.27$. C) $530.93$. D) $21233$. Show Answer Correct Answer: C) $530.93$. 6. The point (3, 3) is on a circle whose center is at (-1, 3). Write the standard form of the equation of the circle. A) (x-3)$^{2}$+(y-3)$^{2}$=16. B) (x+1)$^{2}$+(y-3)$^{2}$=9. C) (x-3)$^{2}$+(y-3)$^{2}$=4. D) (x+1)$^{2}$+(y-3)$^{2}$=16. Show Answer Correct Answer: D) (x+1)$^{2}$+(y-3)$^{2}$=16. 7. A line that intersects a circle at exactly one point is a ..... A) Secant. B) Radius. C) Chord. D) Tangent. Show Answer Correct Answer: D) Tangent. 8. Alex was gave a big, circular, red rug, the radius of it was 80, can u help her find the diameter? A) 160. B) 40. C) 15.6. D) 10. Show Answer Correct Answer: A) 160. 9. What is the center and radius for a circle with the equation:($^{}$x-4)$^{2}$+(y+2)$^{2}$=25 A) C:(4, -2), r=5. B) C:(4, -2), r=25. C) C:(-4, 2), r=25. D) C:(-4, 2), r=5. Show Answer Correct Answer: A) C:(4, -2), r=5. 10. If a radius is drawn to a point of tangency, what angle is formed between the radius and the tangent? A) 30 degrees. B) 45 degrees. C) 90 degrees. D) 60 degrees. Show Answer Correct Answer: C) 90 degrees. 11. Determine the center and radius of the circle represented by the equation $\left(x-9\right)^2+y^2+2y=15$ A) Center:$\left(-9, 1\right)$. B) Center:$\left(-9, 1\right)$. C) Center:$\left(9, -1\right)$ $4$. D) Center:$\left(9, -1\right)$. Show Answer Correct Answer: C) Center:$\left(9, -1\right)$ $4$. 12. A circle has a radius of 9.2 cm. Find the area of the circle to the nearest tenth. A) 57.8 square centimeters. B) 1063.6 square centimeters. C) 265.8 square centimeters. D) 265.9 square centimeters. Show Answer Correct Answer: D) 265.9 square centimeters. 13. What does the r in the standard equation stand for? A) R is the x coordinate of the center of the circle. B) R is the distance of the circle. C) R is the y coordinate of the center of the circle. D) R is the radius of the circle. Show Answer Correct Answer: D) R is the radius of the circle. 14. Where do we look to get a name for our circle? A) The radius. B) The diameter. C) The circumference. D) The center. Show Answer Correct Answer: D) The center. 15. In order to convert from general form to center-radius form, you must ..... A) Multiply out. B) Expand. C) Factor. D) Complete the square. Show Answer Correct Answer: D) Complete the square. 16. Tyleah moved the hand of a spinner 35 degrees. What fraction of a complete turn through a circle is 35 degrees? A) 90/360. B) 180/360. C) 35/360. D) 1/360. Show Answer Correct Answer: C) 35/360. 17. Ms. Green is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area? A) 45.6 cm$^{2}$. B) 50.24 cm$^{2}$. C) 49.2 cm$^{2}$. D) 55.9 cm$^{2}$. Show Answer Correct Answer: B) 50.24 cm$^{2}$. 18. The circumference of a large circle is 51 inches. What is the diameter (remember divide by 3 and then round). A) 15 inches. B) 16 inches. C) 18 inches. D) 17 inches. Show Answer Correct Answer: D) 17 inches. 19. What type of triangle is formed by two radii and a chord? A) Right. B) Equilateral. C) Scalene. D) Isosceles. Show Answer Correct Answer: D) Isosceles. 20. A circle has a diameter of 8cm. Find the circumference of the circle. A) 25.12 cm. B) 4 cm. C) 16 cm. D) None of the above. Show Answer Correct Answer: A) 25.12 cm. 21. What is the name of the perimeter of a circle? A) Radius. B) Perimeter. C) Circumference. D) Diameter. Show Answer Correct Answer: C) Circumference. 22. If two tangents are drawn from a single external point to a circle, what can be said about their lengths? A) They are equal. B) They are different. C) One is twice the other. D) They are both zero. Show Answer Correct Answer: A) They are equal. 23. The diameter of circle x is 15 centimeters. The diameter of circle y is 20 centimeters. Which measurement is closest to the difference between the circumference of circle x and the circumference of circle y in centimeters? A) 7.85 cm. B) 137 cm. C) 15.7 cm. D) 31.4 cm. Show Answer Correct Answer: C) 15.7 cm. 24. An arc that measures between 180 and 360 degrees. A) Arc. B) Minor Arc. C) Semicircle. D) Major Arc. Show Answer Correct Answer: D) Major Arc. 25. What is the angle around a point? A) 90$^\circ$. B) 180$^\circ$. C) 360$^\circ$. D) 270$^\circ$. Show Answer Correct Answer: C) 360$^\circ$. 26. The region between an arc and the two radii, joining the centre to the end points of the arc is calles a /an A) Sector. B) Arc. C) Segment. D) Semi circle. Show Answer Correct Answer: A) Sector. 27. A ..... is an angle whose vertex is the center of the circle. A) Central angle. B) Obtuse angle. C) Right angle. D) Inscribed angle. Show Answer Correct Answer: A) Central angle. 28. Circumference of Sector A) Length of Arc + 2Xr. B) Length of Arc-2r. C) Circumference of arc + D. D) All the above. E) First and third only. Show Answer Correct Answer: E) First and third only. 29. How do you find the area of a circle? A) $\pi r^2$. B) $2\pi^2$. C) $\pi d^2$. D) $2\pi r$. Show Answer Correct Answer: A) $\pi r^2$. 30. A line that passes through a circle A) Chord. B) Tangent. C) Radius. D) Secant. Show Answer Correct Answer: D) Secant. 31. What is the approximate area of a circle with a diameter of 6.2 inches? A) 120.8 square inches. B) 9.7 square inches. C) 19.5 square inches. D) 30.2 square inches. Show Answer Correct Answer: D) 30.2 square inches. 32. In the class interval 50-55 what is the Upper limit? A) 55. B) 50. C) 49.5. D) 54.9. Show Answer Correct Answer: A) 55. 33. Degree measure of a Semi-Circular Arc is A) <90. B) = 180. C) = 360. D) None of the above. Show Answer Correct Answer: B) = 180. 34. The diameter of a circle is 11 yds. What is the radius? A) 5.5. B) 22. C) 11. D) 6.5. Show Answer Correct Answer: A) 5.5. 35. The diameter of a tractor's wheel is 4 ft. Approximately how many complete turns will the wheel make if it travels 64 ft? A) 5. B) 10. C) 4. D) 16. Show Answer Correct Answer: A) 5. 36. Angles in the same segment of a circle are ..... A) Half. B) Triple. C) Double. D) Equal. Show Answer Correct Answer: D) Equal. 37. What is the ratio used to find pi? A) Radius / diameter. B) Diameter / radius. C) Circumference / radius. D) Circumference / diameter. Show Answer Correct Answer: D) Circumference / diameter. 38. When a circle is divided into Two equal arcs of they are also known as A) Sector. B) Segment. C) Semi circle. D) Chord. Show Answer Correct Answer: C) Semi circle. 39. What type of triangle is formed by joining the mid-points of all three sides of an equilateral triangle? A) Right angled triangle. B) Equilateral. C) Scalene. D) Isosceles. Show Answer Correct Answer: B) Equilateral. 40. To find an angle outside the circle you use which of the following. A) (1/2)(arc-arc). B) (1/2)arc. C) (1/2)(arc+arc). D) I don't know. Show Answer Correct Answer: A) (1/2)(arc-arc). 41. The quadrilateral formed by joining the mid-points of all four sides of a rectangle. A) Rectangle. B) Square. C) Rhombus. D) None of the above. Show Answer Correct Answer: C) Rhombus. 42. Segment of a circle is a region between an arc and ..... of the circle A) Segment. B) Diameter. C) Sector. D) Chord. Show Answer Correct Answer: D) Chord. 43. Allie's kitchen table is round and has a diameter of 6 feet. What is the tabletop's area? A) 56.52 cm. B) 28.26 feet. C) 18.84 cm. D) 9.42 cm. Show Answer Correct Answer: B) 28.26 feet. 44. Given a circle of radius r and with centre O. A point P lies in a planesuch that OP $<$ A) On the circle. B) In the exterior of the circle. C) In the interior of the circle. D) Cannot say. Show Answer Correct Answer: C) In the interior of the circle. 45. Find the area of a circle whose radius is 5 inches. Round your answer to the nearest tenths. A) 78.5 in$^{2}$. B) 15.7 in$^{2}$. C) 31.4 in$^{2}$. D) 314.2 in$^{2}$. Show Answer Correct Answer: A) 78.5 in$^{2}$. 46. If the radius of a circle is 12.5 meters, the diameter is ..... A) 125 meters. B) 25 meters. C) 50 meters. D) 6.25 meters. Show Answer Correct Answer: B) 25 meters. 47. The angle subtended by an arc at the centre is ..... the angle subtended by it at any point on the remaining part of the circle. A) Double. B) Half. C) Equal. D) Triple. Show Answer Correct Answer: A) Double. 48. The ratio of circumference to diameter is A) Pi. B) Irrational. C) Rational. D) Half. Show Answer Correct Answer: A) Pi. 49. Mario ordered a pizza that had a diameter of 14 in. What is the approximate area of the pizza? A) 22 square inches. B) 616 square inches. C) 154 square inches. D) 44 square inches. Show Answer Correct Answer: C) 154 square inches. 50. A circle's major arc is often named with 3 letters. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 51. A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference? A) 9.42 m. B) 12 m. C) 18.84 m. D) 3 m. Show Answer Correct Answer: C) 18.84 m. 52. At the bakery where Carson works, one of the cups in a cupcake tray has a diameter of 4 cm. What is the cup's area? A) 50.24 cm. B) 6.28 cm. C) 62.8 cm. D) 12.56 cm. Show Answer Correct Answer: D) 12.56 cm. 53. After stepping into a room with unusual lighting, Lucy's pupil has a diameter of 6 millimeters. What is the pupil's circumference? A) 1.884 mm. B) 9.42 mm. C) 18.84 mm. D) 11.304 mm. Show Answer Correct Answer: C) 18.84 mm. 54. An angle whose vertex lies of the circle and both endpoints lie across the circle. A) Inscribed Angle. B) Arc. C) Angle. D) Central Angle. Show Answer Correct Answer: A) Inscribed Angle. 55. Steven and Kevin purchase a bowl for their new kitchen. The diameter of the bowl is 14 cm. What is the circumference of the bowl? A) 43.98 cm. B) 7 cm. C) 87.96 cm. D) 28 cm. Show Answer Correct Answer: A) 43.98 cm. 56. Fill in the blank:A ..... is a part of the circumference of a circle. A) Radius. B) Diameter. C) Arc. D) Chord. Show Answer Correct Answer: C) Arc. 57. A circle has a radius of 50 centimeters. Which of these is closest to its area? A) 157 cm$^{2}$. B) 15, 708 cm$^{2}$. C) 314 cm$^{2}$. D) 7, 854 cm$^{2}$. Show Answer Correct Answer: D) 7, 854 cm$^{2}$. 58. The distance from the center to any point on a circle. A) Radius. B) Diameter. C) Chord. D) Circumference. Show Answer Correct Answer: A) Radius. 59. A point, whose distance from the centre of a circle is greater than its radius lies ..... of the circle. A) On circle. B) In exterior. C) On interior. D) None of above. Show Answer Correct Answer: B) In exterior. 60. Area of a Minor Segment of a Circle is A) < area of Major Segment. B) = Area of Major Segment. C) = Area of a Circle. D) None of the above. Show Answer Correct Answer: A) < area of Major Segment. ← 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 3Class 10 Maths Chapter 10 Circles Quiz 4Class 10 Maths Chapter 10 Circles Quiz 6Class 10 Maths Chapter 10 Circles Quiz 7 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books