This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Circles > Class 10 Maths Chapter 10 Circles – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 10 Circles Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the fix point of the circle known as A) Point on the circle. B) Center. C) Exterior point. D) Circle. Show Answer Correct Answer: B) Center. 2. Number of tangents to a circle which are parallel to a given secant is/are ..... A) Infinite. B) 2. C) 3. D) 1. Show Answer Correct Answer: B) 2. 3. What is the center and the radius of the circle with equation, (x-4)$^{2}$ + (y-2)$^{2}$ = 25 A) Center is (5, 2) and radius is 4. B) Center is (2, 5) and radius is 4. C) Center is (2, 4) and radius is 5. D) Center is (4, 2) and radius is 5. Show Answer Correct Answer: D) Center is (4, 2) and radius is 5. 4. What is the definition of a secant? A) A line segment whose endpoints are on the circle. B) A line that intersects a circle in two points. C) A line that intersects a circle in one point. D) A line segment which intersects the circle at the point of secancy. Show Answer Correct Answer: B) A line that intersects a circle in two points. 5. The distance from a center of a circle to a point on the circle A) Pi. B) Circumference. C) Radius. D) Diameter. Show Answer Correct Answer: C) Radius. 6. Which of the following is the equation of acircle with center (4, -5) and passing through the point (16, 3)? A) $\left(x-4\right)^2+\left(y+5\right)^2=404$. B) $\left(x+4\right)^2+\left(y-5\right)^2=208$. C) $\left(x-4\right)^2+\left(y+5\right)^2=14.42$. D) $\left(x-4\right)^2+\left(y+5\right)^2=208$. E) $\left(x+4\right)^2+\left(y-5\right)^2=832$. Show Answer Correct Answer: D) $\left(x-4\right)^2+\left(y+5\right)^2=208$. 7. Which is known as logenst chord of the circle A) Circumfrence. B) Diameter. C) Tangent. D) Radius. Show Answer Correct Answer: B) Diameter. 8. A circular bracelet has a diameter of 6 cm. What is the bracelet's radius? A) 12 cm. B) 36 cm. C) 3 cm. D) 3.3 cm. Show Answer Correct Answer: C) 3 cm. 9. In a circle, if a radius or diameter is perpendicular to a chord, then it ..... the chord and its arc. A) Bisects. B) Equals. C) Circles. D) Arcs. Show Answer Correct Answer: A) Bisects. 10. A ..... is a line, ray, or segment that intersects a circle at two points. A) Secant. B) Tangent. C) Radius. D) Arc. Show Answer Correct Answer: A) Secant. 11. If the sum of a pair of opposite angles of a quadrilateral is ..... , the quadrilateral is cyclic A) 180 degree. B) 90 degree. C) 360 degree. D) None of these. Show Answer Correct Answer: A) 180 degree. 12. What is the center of the circle with equation x$^{2}$ + y$^{2}$ = 1? A) Not enough information. B) (0, 1). C) (0, 0). D) (1, 1). Show Answer Correct Answer: C) (0, 0). 13. An arc that measures less than 180 degrees A) Arc. B) Major Arc. C) Angle. D) Minor Arc. Show Answer Correct Answer: D) Minor Arc. 14. Find the area of a circle with a diameter of 28 feet. Use 3.14 for pi. A) 2461.76 feet squared. B) 87.92 feet squared. C) 615.44 feet squared. D) 175.84 feet squared. Show Answer Correct Answer: C) 615.44 feet squared. 15. Equal ..... of the congruent circles subtend equal angles at the centers. A) A. Segments. B) Arcs. C) B. Radii. D) D. Chords. Show Answer Correct Answer: D) D. Chords. 16. Find the area of the circle, round to nearest tenth:r = 15 cm A) 176.6 cm$^{2}$. B) 705 cm$^{2}$. C) 706.5 cm$^{2}$. D) 70.65 cm$^{2}$. Show Answer Correct Answer: C) 706.5 cm$^{2}$. 17. Which of the following is theorem 10.8 A) Angle subtend by an arc at the centre is double the angle subtend by it at any point on the remaining part of the circle. B) Equal chord of a circle subtend equal angle at centre. C) Equal chord of a circle subtend not equal angle at centre. D) Angle subtend by an arc of a circle. Show Answer Correct Answer: A) Angle subtend by an arc at the centre is double the angle subtend by it at any point on the remaining part of the circle. 18. Determine the center and radius:x$^{2 }$+ y$^{2 }$+ 14x-2y =-1 A) Center= (-7, 2) radius= 3. B) Center= (-7, 1) radius= 7. C) Center= (-4, 1) radius= 5. D) None of the above. Show Answer Correct Answer: B) Center= (-7, 1) radius= 7. 19. If a circle has a diameter of 16 ft. then which statement is true? A) The diameter is 32 ft. B) The radius is 8 ft. C) The radius is 32 ft. D) The diameter is 8 ft. Show Answer Correct Answer: B) The radius is 8 ft. 20. In the equation (x-3)$^{2}$+(y-2)$^{2}$=16, the center of the circle is ..... A) (3, 2). B) (-2, -3). C) (-3, -2). D) (2, 3). Show Answer Correct Answer: A) (3, 2). 21. The circular opening of a tunnel has a circumference of 36 meters. Which equation can be used to find d, the diameter of the tunnel opening in meters? A) $\pi\cdot36=d$. B) $2\cdot\pi\cdot36=d$. C) $\frac{36}{\pi}=d$. D) $\frac{36}{2\pi}=d$. Show Answer Correct Answer: C) $\frac{36}{\pi}=d$. 22. Find the area of the circle, round to nearest tenth:r = 12 in A) 45.2 in$^{2}$. B) 452.2 in$^{2}$. C) 450 in$^{2}$. D) 113.0 in$^{}$. Show Answer Correct Answer: B) 452.2 in$^{2}$. 23. The longest chord of a circle is a ..... of the circle. A) Sector. B) Chord. C) Semicircle. D) Diameter. Show Answer Correct Answer: D) Diameter. 24. Solve the inequality. $2\left(2.1x+4.5\right)\ge21.6$ A) $x\ge3$. B) $x\le4$. C) $x\ge4$. D) $x\le3$. Show Answer Correct Answer: A) $x\ge3$. 25. The line drawn through the centre of a circle to ..... a chord is perpendicular to the chord. A) Trisect. B) Bisect. C) Coincides. D) None of these. Show Answer Correct Answer: B) Bisect. 26. Determine the equation of the circle in standard form:x$_{}$$^{2 }$+ y$^{2 }$+ 6x-12y + 20 = 0 A) (x-3)$^{2}$ + (y+6)$^{2}$ = 45. B) (x+3)$^{2}$ + (y-6)$^{2}$ = 25. C) (x-3)$^{2}$ + (y+6)$^{2}$ = 25. D) (x+3)$^{2}$ + (y-6)$^{2}$ = 5. Show Answer Correct Answer: B) (x+3)$^{2}$ + (y-6)$^{2}$ = 25. 27. How do you get the radius? A) Divide diameter by 2. B) Add 5 to the diameter. C) Subtract 9 from chord. D) Divide the chord by 6. Show Answer Correct Answer: A) Divide diameter by 2. 28. Segment of a circle is the region between an arc and ..... of the circle. A) Radius. B) Diameter. C) Chord. D) Sector. Show Answer Correct Answer: C) Chord. 29. The tangents drawn at the end points of the diameter of a circle are A) Perpendicular. B) Parallel. C) Equal. D) None of these. Show Answer Correct Answer: B) Parallel. 30. If a line is tangent to a circle, then it is ..... to the radius drawn to the point of tangency. A) Parallel. B) Adjacent. C) Supplementary. D) Perpendicular. Show Answer Correct Answer: D) Perpendicular. 31. A family room has a circular rug. The rug has a diameter of 10 feet. What is the area of the rug? A) 78.5 feet. B) 314 feet. C) 15.7 feet. D) 785 feet. Show Answer Correct Answer: A) 78.5 feet. 32. Opposite angles in any quadrilateral inscribed in a circle are ..... of each other. A) Congruent. B) Complements. C) Supplements. D) Opposite. Show Answer Correct Answer: C) Supplements. 33. A circle has a radius of 1 in. What is the circumference? A) 6.82 in. B) 6.28 in. C) 3.14 in. D) 2 in. Show Answer Correct Answer: B) 6.28 in. 34. A(n) ..... to a circle is a line, ray or segment in the plane of the circle that intersects the circle in exactly one point. A) Secant. B) Radius. C) Arc. D) Tangent. Show Answer Correct Answer: D) Tangent. 35. The radius is ..... A) A line that crosses through the center and touches each edge. B) The center point of a circle. C) A line from the center point to the edge of the circle. D) An element in science. Show Answer Correct Answer: C) A line from the center point to the edge of the circle. 36. If the circumference of a circle is 600 mm, what is the diameter? A) 191.08 mm. B) 95.54 mm. C) 30 mm. D) 360000 mm. Show Answer Correct Answer: A) 191.08 mm. 37. A circular sinkhole in a farmer's field has a radius of 13 meters. A week later, it has expanded to a diameter of 104 meters. Dana and Rowan are curious to find out how much greater is the circumference of the sinkhole compared to the previous week? A) 612.3 m. B) 256.02 m. C) 285.74 m. D) 244.92 m. Show Answer Correct Answer: D) 244.92 m. 38. The diameter of the circle is 92in. What is the radius of the circle? A) 45 in. B) Answer is Not Here. C) 3.14 in. D) 92 in. Show Answer Correct Answer: B) Answer is Not Here. 39. Diameter is 11cm, Callculate the radus of a circle A) 5.5cm. B) 5.2cm. C) 11.0cm. D) 5cm. Show Answer Correct Answer: A) 5.5cm. 40. Three angles of a quadrilateral are 75$^\circ$, 90$^\circ$and 75$^\circ$, the fourth angle is A) 120$^\circ$. B) 95$^\circ$. C) 90$^\circ$. D) 105$^\circ$. Show Answer Correct Answer: A) 120$^\circ$. 41. A circular swimming pool is 21 feet in diameter.How many feet around is the pool? A) 65.94 ft. B) 42 ft. C) 10.5 ft. D) 131.95 ft. Show Answer Correct Answer: A) 65.94 ft. 42. While running for class president, Tara handed out a campaign button. The button has a diameter of 8 cm. What is the button's radius? A) 4 cm. B) 16 cm. C) 2 cm. D) 8 cm. Show Answer Correct Answer: A) 4 cm. 43. A circular pie has an area of 706.5 cm$^{2}$. What is the radius of the pie? A) 30 cm. B) 15 cm. C) 225 cm. D) 112.5 cm. Show Answer Correct Answer: B) 15 cm. 44. A shape which does not have line segments A) Circle. B) Circle made up triangle. C) Sqaure. D) Triangle. Show Answer Correct Answer: A) Circle. 45. What is the circumference of a circle with a radius of 21 cm? A) 111.9 cm. B) 141.9 cm. C) 121.9 cm. D) 131.9 cm. Show Answer Correct Answer: D) 131.9 cm. 46. Jack cut out two fabric circles of different sizes in his art class. The larger circle has a circumference of 22 inches, and the smaller circle has a circumference of 14 inches. What is the total area, to the nearest hundredth of a square inch, of the two circles? (Use 3.14 for pi) A) 29.89 square inches. B) 11.47 square inches. C) 54.14 square inches. D) 5.73 square inches. Show Answer Correct Answer: C) 54.14 square inches. 47. Inscribed angle:an angle with its vertex ..... the circle A) At the center of. B) On. C) All the above. D) None of the above. Show Answer Correct Answer: B) On. 48. The set of all points in a plane that are equidistant from a given point. A) Half Circle. B) Circle. C) Semicircle. D) Point. Show Answer Correct Answer: B) Circle. 49. The definition of radius is ..... A) Distance across the circle through the cente. B) Distance from the center to any point on the circle. C) Distance around the circle. D) Distance from one point to another point. Show Answer Correct Answer: B) Distance from the center to any point on the circle. 50. In the standard (x, y) coordinate plane, what is the center of a circle with the equation:$\left(x-2\right)^2+\left(y+1\right)^2=4$ A) (-4, -2). B) (-2, 1). C) (2, -1). D) (4, -2). E) (-2, 4). Show Answer Correct Answer: C) (2, -1). 51. The sum of either pair of opposite side of a cyclic quadrilateral is A) 180 degrees. B) 360 degrees. C) 90 degrees. D) None. Show Answer Correct Answer: A) 180 degrees. 52. If a line is tangent to a circle, then it is ..... at the point of contact. A) Parallel. B) Adjacent. C) Supplementary. D) Perpendicular. Show Answer Correct Answer: D) Perpendicular. 53. The area of a circle is $25\pi$ A) $16\pi$. B) $14\pi$. C) $12\pi$. D) $10\pi$. Show Answer Correct Answer: D) $10\pi$. 54. The circumference of a circle is 32 centimeters. Which is the closest to the radius? A) 10.2 centimeters. B) 16 centimeters. C) 5.1 centimeters. D) 5.3 centimeters. Show Answer Correct Answer: C) 5.1 centimeters. 55. The region between an arc and the two radii, joining the centre to the endpoints of the arc is called a ..... A) Sector. B) Area. C) Arc. D) Segment. Show Answer Correct Answer: A) Sector. 56. Write the equation of a circle with its diameter whose endpoints are (2, 7) and (4, -3). Hint:first find the center of the circle using midpoint formula. A) (x+1)$^{2}$+(y-5)$^{2}$=13. B) (x+1)$^{2}$+(y-5)$^{2}$=89. C) (x+3)$^{2}$+(y+2)$^{2}$=26. D) (x-3)$^{2}$+(y-2)$^{2}$=26. Show Answer Correct Answer: D) (x-3)$^{2}$+(y-2)$^{2}$=26. 57. Lena and Marco are planning to install a circular hot tub in their backyard. If the diameter of the hot tub is 6 feet, what is the circumference? A) 18.84 ft. B) 6.28 ft. C) 12.56 ft. D) 9.42 ft. Show Answer Correct Answer: C) 12.56 ft. 58. What is the circle equation, given the center is (4, 1) and the radius is 3? A) (x+1)$^{2}$ + (y+4)$^{2}$ = 9. B) (x+4)$^{2}$ + (y+1)$^{2}$ = 9. C) (x-1)$^{2}$ + (y-4)$^{2}$ = 9. D) (x-4)$^{2}$ + (y-1)$^{2}$ = 9. Show Answer Correct Answer: D) (x-4)$^{2}$ + (y-1)$^{2}$ = 9. 59. What is the radius of this circle, if the diameter was 46 CM A) 0. B) 92. C) 19. D) 23. Show Answer Correct Answer: D) 23. 60. A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base of the speaker is 11 square inches. What is the volume of the speaker in cubic inches? A) $66\in^3$. B) $33\in^3$. C) $198\in^3$. D) $22\in^3$. Show Answer Correct Answer: B) $33\in^3$. Next →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 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 5Class 10 Maths Chapter 10 Circles Quiz 6Class 10 Maths Chapter 10 Circles Quiz 7 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books