This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Circles > Class 10 Maths Chapter 10 Circles – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 10 Circles Quiz 4 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which of the following is theorem 10.10 A) If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the line segment, the four points lie on a circle. B) Angles in the same segment of a circle are equal. C) Angle subtend by an arc of a circle. D) Equal chord of a circle subtend not equal angle at centre. Show Answer Correct Answer: A) If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the line segment, the four points lie on a circle. 2. An angle in a circle with vertex on the center of the circle A) Angle. B) Circle. C) Inscribed angle. D) Central angle. Show Answer Correct Answer: D) Central angle. 3. Which is true of a major arc? A) Forms half a circle. B) Measures less than 180 degrees. C) Measures greater than 180 degrees. D) Forms a whole circle. Show Answer Correct Answer: C) Measures greater than 180 degrees. 4. If a quadrilateral is inscribed in a circle, then opposite angles are ..... A) Equal. B) Complementary. C) Adjacent. D) Supplementary. Show Answer Correct Answer: D) Supplementary. 5. Luke's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area? A) 61.345 ft$^{2}$. B) 64.585 ft$^{2}$. C) 68.345 ft$^{2}$. D) 63.585 ft$^{2}$. Show Answer Correct Answer: D) 63.585 ft$^{2}$. 6. A ray is longer than the line. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 7. If the diameter is 5 what is the circumference using the formulac= 3.14 x d? A) 15.7. B) 10.28. C) 15. D) 14.28. Show Answer Correct Answer: A) 15.7. 8. Circumference = $14\pi$ A) 7 in. B) 9 in. C) 5 in. D) 6 in. Show Answer Correct Answer: A) 7 in. 9. What is the area of a circle with the diameter of 14 cm? A) 1540 m. B) 66 cm. C) 308 cm. D) 154 cm. Show Answer Correct Answer: D) 154 cm. 10. If the diameter of a circle is 10cm, what is its radius A) 3cm. B) 2cm. C) 5cm. D) 10cm. Show Answer Correct Answer: C) 5cm. 11. If the diameter is 12 what is the circumference using the formula c= 3.14 x d? A) 37.68. B) 36. C) 18.68. D) 48.12. Show Answer Correct Answer: A) 37.68. 12. Convert the to standard form. x$^{2 }$+ y$^{2 }$+ 6x-10y-15 = 0 A) (x + 6)$^{2 }$+ (y-10)$^{2 }$= 225. B) (x + 3)$^{2 }$+ (y-5)$^{2 }$= 7. C) (x + 3)$^{2 }$+ (y-5)$^{2 }$= 49. D) (x + 3)$^{2 }$+ (y-5)$^{2 }$= 361. Show Answer Correct Answer: C) (x + 3)$^{2 }$+ (y-5)$^{2 }$= 49. 13. What is the name for the "perimeter" of a circle? A) Perimeter. B) Diameter. C) Circumference. D) Gerald. Show Answer Correct Answer: C) Circumference. 14. The line segment between the center and a point on the circle is the A) Diameter. B) Chord. C) Radius. D) Tangent. Show Answer Correct Answer: C) Radius. 15. Which would be needed to calculate the total number of equally sized tiles on a circular floor? A) Area. B) Circumference. C) Volume. D) None of the above. Show Answer Correct Answer: A) Area. 16. If the radius is 3.5 inches. What is the diameter? A) 11 inches. B) 5 inches. C) 7 inches. D) 6 inches. Show Answer Correct Answer: C) 7 inches. 17. In a circle (or congruent circles), the measure of an arc is: A) Equal to half of the measure of its corresponding inscribed angle. B) Equal to the measure of its corresponding inscribed angle. C) Equal to four cups of wheat flour. D) Equal to twice the measure of its corresponding inscribed angle. Show Answer Correct Answer: D) Equal to twice the measure of its corresponding inscribed angle. 18. Which of the following divide circle into two equal halfes A) Angle. B) Chord. C) Diameter. D) Radius. Show Answer Correct Answer: C) Diameter. 19. If the diameter of a circle is 18 feet, which is the closest circumference? A) 5.73 feet. B) 9 feet. C) 56.52 feet. D) 28.26 feet. Show Answer Correct Answer: C) 56.52 feet. 20. Terry wants to place a brick walkway around his circular swimming pool. Which of the following would Terry use to find how much brick he needs for the walkway? A) Chord. B) Volume. C) Area. D) Circumference. Show Answer Correct Answer: D) Circumference. 21. What does (h, k) stand 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. 22. A line that touches a circle in just one point. A) Secant. B) Tangent. C) Radius. D) Chord. Show Answer Correct Answer: B) Tangent. 23. What is the equation of a circle with radius 6 and center (-2, 7)? A) (x-2)$^{2}$ + (y+7)$^{2}$ = 6. B) (x+2)$^{2}$ + (y-7)$^{2}$ = 6. C) (x+2)$^{2}$ + (y-7)$^{2}$ = 36. D) (x-2)$^{2}$ + (y+7)$^{2}$ = 36. Show Answer Correct Answer: C) (x+2)$^{2}$ + (y-7)$^{2}$ = 36. 24. Find the area of a circle with a circumference of 31.5 inches. Round to the nearest hundredth as you complete the problem. A) 31.5 square feet. B) 79.13 square feet. C) 25.1 square feet. D) 5.01 square feet. Show Answer Correct Answer: B) 79.13 square feet. 25. The diagonals of ..... does not bisect each other A) Rhombus. B) Trapezium. C) Square. D) Rectangle. Show Answer Correct Answer: B) Trapezium. 26. A circle has the equation x$^{2}$ + y$^{2}$-12x + 8y + 3 = 0. Write the equation in standard form. A) (x-6)$^{2}$ + (y + 4)$^{2}$ = 55. B) (x + 4)$^{2}$ + (y-6)$^{2}$ = 49. C) X$^{2}$ + y$^{2}$ = 55. D) (x-6)$^{2}$ + (y + 4)$^{2}$ = 49. Show Answer Correct Answer: D) (x-6)$^{2}$ + (y + 4)$^{2}$ = 49. 27. What is the area of a circle with the diameter of 10cm? A) 10m. B) 66cm. C) 78.5cm. D) 66.5cm. Show Answer Correct Answer: C) 78.5cm. 28. The diameter of Circle J is 18 cm. The diameter of Circle K is 31 cm. Which circle has the greater area and by how much? A) The area of Circle K is about 2000 cm2 greater than the area of Circle J. B) The area of Circle J is about 500 cm2 greater than the area of Circle K. C) The area of Circle K is about 500 cm2 greater than the area of Circle J. D) The area of Circle J is about 2000 cm2 greater than the area of Circle K. Show Answer Correct Answer: C) The area of Circle K is about 500 cm2 greater than the area of Circle J. 29. A circle has a diameter of 7.6 feet. Which measurement is closest to the circumference of the circle in feet? A) 45.3 ft. B) 47.7 ft. C) 11.9 ft. D) 23.9 ft. Show Answer Correct Answer: D) 23.9 ft. 30. In a circle, if a diameter bisects a chord (that is not a diameter), then: A) It is a secant. B) It is parallel to the chord. C) It is perpendicular to the chord. D) It is just shaking out the sillies. Show Answer Correct Answer: C) It is perpendicular to the chord. 31. The only 2 dimensional measurement of a circle is the ..... A) Radius. B) Area. C) Circumference. D) Diameter. Show Answer Correct Answer: B) Area. 32. What is half the size of a diameter A) Radius. B) Chord. C) Center. D) None of the above. Show Answer Correct Answer: A) Radius. 33. Elsie bought a circular rug that is 9 feet in diameter. What is the circumference of the rug rounded to the nearest tenth of a foot? A) 4.5 feet. B) 56.5 feet. C) 14.1 feet. D) 28.3 feet. Show Answer Correct Answer: D) 28.3 feet. 34. A circular gaga-pit has a circumference of 157 ft. How large of an area is enclosed in the gaga-pit?HINT:Work backwards from Circumference to find diameter, then radius. Use radius to find the area. A) 50 squared units. B) 1962.5 squared units. C) 7850 squared units. D) 492.98 squared units. Show Answer Correct Answer: B) 1962.5 squared units. 35. Tom has a circular clock with a circumference of 39.88 inches. What is the radius of Tom's clock, to the nearest hundredth of an inch? (Use 3.14 for pi) A) 6.35 inches. B) 25.40 inches. C) 3.56 Inches. D) 12.70 inches. Show Answer Correct Answer: A) 6.35 inches. 36. If radus is 2cm, what is the diameter of a circle A) 4cm. B) 2cm. C) 3cm. D) 5cm. Show Answer Correct Answer: A) 4cm. 37. A circular tablecloth has a radius of 2.5 feet. Kyle is sewing a piece of ribbon around the edge of the tablecloth. If Kyle has exactly enough ribbon, which measurement is closest to the length of the piece of ribbon in feet? A) 15.7 ft. B) 19.63 ft. C) 7.85 ft. D) 31.4 ft. Show Answer Correct Answer: A) 15.7 ft. 38. What is the circumference of a circle with a radius of 54 m? A) 339.12 m. B) 169.56 m. C) 84.78 m. D) None of the above. Show Answer Correct Answer: A) 339.12 m. 39. Find the area of the circle, round to nearest tenth:d = 12 ft A) 452.2 ft$^{2}$. B) 113.0 ft$^{2}$. C) 11.3 ft$^{2}$. D) 115 ft$^{2}$. Show Answer Correct Answer: B) 113.0 ft$^{2}$. 40. Circumference of a circle A) $\frac{1}{2}2\pi r$. B) $\pi r^2$. C) $2\pi r$. D) $\frac{1}{2}\pi r$. Show Answer Correct Answer: C) $2\pi r$. 41. Mason is designing a park layout and needs to identify the shape of a decorative pond based on its equation:x$^{2}$ + y$^{2}$-6y-14 = 0 A) Hyperbola. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: B) Circle. 42. A ..... is a segment in a circle that has endpoints on the circle. A) Diameter. B) Radius. C) Chord. D) Arc. Show Answer Correct Answer: C) Chord. 43. A(n) (a) is an angle that has a measure of exactly 90$^\circ$. A) A. right angle. B) Obtuse angle. C) Acute angle. D) Straight angle. Show Answer Correct Answer: A) A. right angle. 44. To find an angle inside the circle you use which of the following. A) (1/2)(arc-arc). B) (1/2)(arc+arc). C) I don't know. D) (1/2)arc. Show Answer Correct Answer: B) (1/2)(arc+arc). 45. What is the equation of a circle given the center is (-5, 7) with a radius of 5? A) (x+5)$^{2}$ + (y+7)$^{2}$ = 25. B) (x-5)$^{2}$ + (y-7)$^{2}$ = 25. C) (x+5)$^{2}$ + (y-7)$^{2}$ = 25. D) (x-5)$^{2}$ + (y+7)$^{2}$ = 25. Show Answer Correct Answer: C) (x+5)$^{2}$ + (y-7)$^{2}$ = 25. 46. What is the radius if the diameter is 27? A) 13.5. B) 1.35. C) I do not know. D) 135. Show Answer Correct Answer: A) 13.5. 47. The collection of all the points in a plane, which are at a fixed distance from a fixed point in the plane, is called ..... A) Circle. B) Square. C) Triangle. D) Rectangle. Show Answer Correct Answer: A) Circle. 48. The circum center of the right angled triangle lies at the ..... of the triangle. A) Midpoint of the hypotenuse of the triangle. B) Midpoint of the base of the triangle. C) Endpoint of the hypotenuse of the triangle. D) Midpoint of the altitude of the triangle. Show Answer Correct Answer: A) Midpoint of the hypotenuse of the triangle. 49. The class mark of the class 5.5-20.5 is A) 20.5. B) 15.5. C) 18. D) 5. Show Answer Correct Answer: C) 18. 50. P.7 Circles #20 Find the center and the radius of the circle formed by the equation $(x-7)^2+y^2=81$ A) (7, 0) r=9. B) (-7, 0) r=9. C) (7, 0) r=81. D) (-7, 0) r=81. Show Answer Correct Answer: A) (7, 0) r=9. 51. In a Sector, area of minor segment is equal to A) Area of Circle minus Area of Minor Sector. B) Area of Given Sector minus Area of a Triangle. C) All the above. D) None of the above. Show Answer Correct Answer: B) Area of Given Sector minus Area of a Triangle. 52. Write the standard equation of the circle with the given center and radius; center (0, 0) and radius:3 A) X$^{2}$+y$^{2}$=3. B) X$^{2}$+y$^{2}$=6. C) X$^{2}$+y$^{2}$=9. D) None of the above. Show Answer Correct Answer: C) X$^{2}$+y$^{2}$=9. 53. It is a portion of the circumference from any two points that lie on the boundary of the circle. A) Radius. B) Arc. C) Diameter. D) Chord. Show Answer Correct Answer: B) Arc. 54. The point in the middle. The point is used to name the circle. A) Middle Dot. B) Point. C) Center of a Circle. D) Segment. Show Answer Correct Answer: C) Center of a Circle. 55. What is the circumference of a circle whose diameter is 14 inches? Round to the nearest hundredth. A) 153.94 inches. B) 21.99 inches. C) 87.96 inches. D) 43.98 inches. Show Answer Correct Answer: D) 43.98 inches. 56. Area of the segment A) Area of sector + Area of Triangle. B) Area of Sector + length of Arc. C) Area of Sector-Area of triangle. D) 2 Radius + Length of Arc. E) First and Second. Show Answer Correct Answer: C) Area of Sector-Area of triangle. 57. The distance across the circle through the center is called the ..... A) Radius. B) Circumference. C) Diameter. D) Area. Show Answer Correct Answer: C) Diameter. 58. A circle has the equation x$^{2}$ + y$^{2}$ + 10x-4y + 20 = 0. Write it in standard form. A) (x + 5)$^{2}$ + (y-2)$^{2}$ = 3. B) (x-5)$^{2}$ + (y + 2)$^{2}$ = 9. C) (x-5)$^{2}$ + (y + 2)$^{2}$ = 3. D) (x + 5)$^{2}$ + (y-2)$^{2}$ = 9. Show Answer Correct Answer: D) (x + 5)$^{2}$ + (y-2)$^{2}$ = 9. 59. 10 The perpendicular drawn from the center of a circle to a chord ..... to the chord A) Trisect. B) Bisect. C) Coincide. D) None. E) . Show Answer Correct Answer: B) Bisect. 60. How many degrees are in a circle? A) 180$^\circ$. B) 360$^\circ$. C) 90$^\circ$. D) 270$^\circ$. Show Answer Correct Answer: B) 360$^\circ$. ← 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 5Class 10 Maths Chapter 10 Circles Quiz 6Class 10 Maths Chapter 10 Circles Quiz 7 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books