This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Areas Related To Circles > Class 10 Maths Chapter 12 Areas Related To Circles – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 12 Areas Related To Circles Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If the wheel of an engine of a train is $4\frac{2}{7}$ A) 37. B) 47. C) 27. D) 17. Show Answer Correct Answer: C) 27. 2. The perimeter of the circle is equal to that of a square, then the ratio of their areas is A) 11:14. B) 14:11. C) 22:7. D) 7:22. Show Answer Correct Answer: B) 14:11. 3. The distance between (3, k) and (5, 6) is $2\sqrt{2}$ A) 4. B) 8. C) Both. D) None. Show Answer Correct Answer: C) Both. 4. The length of minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time 6:05 am and 6:40 am A) $\frac{220}{6}cm^2$. B) $\frac{300}{6}cm^2$. C) $\frac{275}{6}cm^2$. D) $\frac{375}{12}cm^2$. Show Answer Correct Answer: C) $\frac{275}{6}cm^2$. 5. If the curcumference of a circle is 132cm, then radius of the circle is ..... A) 7. B) 21. C) 14. D) 28. Show Answer Correct Answer: B) 21. 6. Area of circle is 154cm$^{2}$, and Area of minor sector is 7.7cm$^{2}$, then calculate area of major sector of circle. A) 146.3 cm$^{2}$. B) 147 cm$^{2}$. C) 145 cm$^{2}$. D) 77 cm$^{2}$. Show Answer Correct Answer: A) 146.3 cm$^{2}$. 7. The length of the minute hand of a clock is 21 cm. The area swept by the minute hand in 10 minutes is A) 210 $cm^2$. B) 231 $cm^2$. C) 252 $cm^2$. D) 126 $cm^2$. Show Answer Correct Answer: B) 231 $cm^2$. 8. A circular park has a path of uniform width around it. The difference between the outer and inner circumferences of the circular park is 132 cm Its width is A) 20 cm. B) 24 cm. C) 22 cm. D) 21 cm. Show Answer Correct Answer: D) 21 cm. 9. What is the part of a circle enclosed between a chord and the corresponding arc called? A) Quadrant. B) Segment. C) Sector. D) Semicircle. Show Answer Correct Answer: B) Segment. 10. What is the measure of an angle in a semi-circle? A) 90$^\circ$. B) 180$^\circ$. C) 0$^\circ$. D) None of the above. Show Answer Correct Answer: A) 90$^\circ$. 11. Area of segment of a circle = A) Area of sector-area of circle. B) Area of sector-area of triangle. C) Area of triangle-area of sector. D) Area of circle-area of sector. Show Answer Correct Answer: B) Area of sector-area of triangle. 12. $\frac{1}{4}\times\pi r^2$ A) Area of the half of the circle. B) Area of the quadrant of the circle. C) Area of the circle. D) Area of three quadrant of the circle. Show Answer Correct Answer: B) Area of the quadrant of the circle. 13. ABCD is a trapezium such that BC II AD and AB=4cm. If the diagonals AC and BD intersect at 0 such that AO/OC = DO/B =1/2, then BC= A) 7 cm. B) 9 cm. C) 6 cm. D) 8 cm. Show Answer Correct Answer: D) 8 cm. 14. The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is A) $51.3cm^2$. B) $153.9cm^2$. C) $102.6cm^2$. D) $205.2cm^2$. Show Answer Correct Answer: A) $51.3cm^2$. 15. Find the area of a sector of circle of radius 21 cm and central angle 120$^\circ$. A) 512 cm2. B) 462 cm2. C) 441 cm2. D) 386 cm2. Show Answer Correct Answer: B) 462 cm2. 16. The area of a circle is equal to the sum of the areas of two circles of radii 24 cm and 7 cm. The diameter of the new circle is A) 31 cm. B) 25 cm. C) 50 cm. D) 62 cm. Show Answer Correct Answer: B) 25 cm. 17. The perimeter of a sector of a circle whose central angle is 90$^\circ$ and radius 7 cm is A) 25 cm. B) 77 cm. C) 35 cm. D) 7 cm. Show Answer Correct Answer: A) 25 cm. 18. Central angle in a quarter circle is ..... A) 60. B) 90. C) 180. D) 30. Show Answer Correct Answer: B) 90. 19. A point P is 10 cm from the center of the circle. The length of the tangent drawn from P to the circle is 8 cm. The radius of the circle is equal to ..... A) 4 cm. B) 5 cm. C) 6 cm. D) None of these. Show Answer Correct Answer: C) 6 cm. 20. A circular wire of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6:5. The smaller side of the rectangle is A) 80 cm. B) 60 cm. C) 30 cm. D) 70 cm. Show Answer Correct Answer: B) 60 cm. 21. The area of the square that can be inscribed in a circle of radius 8 cm is A) 128 cm$^{2}$. B) 64 cm$^{2}$. C) 642 cm$^{2}$. D) 256 cm$^{2}$. Show Answer Correct Answer: A) 128 cm$^{2}$. 22. If the circumference of a circle is 66 cm, the area of the circle is A) 173.25 $cm^2$. B) 462 $cm^2$. C) 346.5 $cm^2$. D) 132 $cm^2$. Show Answer Correct Answer: B) 462 $cm^2$. 23. The difference between the circumference and radius of a circle is 37 cm. The area of the circle is A) 111 $cm^2$. B) 259 $cm^2$. C) 154 $cm^2$. D) 184 $cm^2$. Show Answer Correct Answer: C) 154 $cm^2$. 24. If A= area of the minor sector and B= corresponding arc length, then choose the correct relation A) B=2*A*radius. B) B=A*radius/2. C) A=2*B* radius. D) A=B*radius/2. Show Answer Correct Answer: D) A=B*radius/2. 25. The region bounded by chord and corresponding arc of a circle is A) Area. B) Segment. C) Perimeter. D) Sector. Show Answer Correct Answer: B) Segment. 26. If the area of the circle is 50 $cm^2$ A) 17.47 $cm^2$. B) 18.17 $cm^2$. C) 14.57 $cm^2$. D) 16.67 $cm^2$. Show Answer Correct Answer: D) 16.67 $cm^2$. 27. $\frac{\theta}{360}\times\pi r^2$ A) Segment of the circle. B) Sector of the circle. C) Arc of the circle. D) Circumference of the circle. Show Answer Correct Answer: B) Sector of the circle. 28. Jesse used rope to stake a circular region in which to plant a garden. The diameter of the region is 20 inches. What is the approximate area of half of the garden? A) 31.4 in$^{2}$. B) 314 in$^{2}$. C) 628 in$^{2}$. D) 157 in$^{2}$. Show Answer Correct Answer: D) 157 in$^{2}$. 29. The radii of two concentric circle are 7cm and 14cm. What is the ratio of their areas? A) 4:1. B) 1:4. C) 1:3. D) 1:2. Show Answer Correct Answer: B) 1:4. 30. The perimeters of the two circles are in the ratio 2:3. The ratio of their areas is ..... A) 4:9. B) 4:10. C) 2:3. D) 7:9. Show Answer Correct Answer: A) 4:9. 31. What is the mirror image of (3, 9) considering x-axis as mirror? A) (9, 3). B) (-3, -9). C) (-9, -3). D) (3, -9). Show Answer Correct Answer: D) (3, -9). 32. If the perimeter of the circle and square are equal, then the ratio of their areas will be equal to: A) 7:22. B) 22:7. C) 11:14. D) 14:11. Show Answer Correct Answer: D) 14:11. 33. Degree measure of minor Arc is A) 180. B) <180. C) = 180. D) None of the above. Show Answer Correct Answer: B) <180. 34. The area of the circle is 154 cm2. The perimeter of the circle is A) 44 cm. B) 55 cm. C) 11 cm. D) 22 cm. Show Answer Correct Answer: A) 44 cm. 35. ABCD is a rectangle whose three vertices are B(4, 0), C (4, 3) and D(0, 3).The length of one of its diagonals is A) 4 units. B) 25 units. C) 5 units. D) 3 units. Show Answer Correct Answer: C) 5 units. 36. A bicycle wheel makes 5000 revolutions in moving 11 km. Find the diameter of the wheel. A) 35 cm. B) 70 cm. C) 140 cm. D) None of the above. Show Answer Correct Answer: B) 70 cm. 37. In a circle of radius 21 cm, an arc subtends an angle of 60$^\circ$ at the centre. The area of the sector formed by the arc is: A) 231 $cm^2$. B) 200 $cm^2$. C) 220 $cm^2$. D) 250 $cm^2$. Show Answer Correct Answer: A) 231 $cm^2$. 38. The length of an arc of a sector of a circle, if radius is 50cm and angle of a sector 50 degrees A) 41.23 cm. B) 43.63 cm. C) 436.33 cm. D) 48.25 cm. Show Answer Correct Answer: B) 43.63 cm. 39. If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then A) R$_{1}$ + R$_{2}$ < R. B) R$_{1}$$^{2}$ + R$_{2}$$^{2}$ < R$^{2}$. C) R$_{1}$$^{2}$ + R$_{2}$$^{2}$ = R$^{2}$. D) R$_{1}$ + R$_{2}$ = R. Show Answer Correct Answer: C) R$_{1}$$^{2}$ + R$_{2}$$^{2}$ = R$^{2}$. 40. If the sum of the areas of two circles with radii $R_1$ $R_2$ A) $R_1+R_2=R$. B) $R_1^2+R_2^2 C) $R_1^2+R_2^2=R^2$. D) $R_1+R_2 Show Answer Correct Answer: C) $R_1^2+R_2^2=R^2$. 41. From an external point P, the length of tangent to the circle is 24 cm and the distance of P from the centre is 25 cm. The radius of the circle is A) 24.5 cm. B) 7 cm. C) 12 cm. D) 15 cm. Show Answer Correct Answer: B) 7 cm. 42. In making 1000 revolutions, a wheel covers 88 km. The diameter of the wheel is A) 14 m. B) 40 m. C) 28 m. D) 24 m. Show Answer Correct Answer: C) 28 m. 43. In a circle of radius 21 cm, an arc subtends an angle of 60$^\circ$ at the centre. The length of the arc is; A) 21 cm. B) 22 cm. C) 25 cm. D) 20 cm. Show Answer Correct Answer: B) 22 cm. 44. Area of the sector of a circle whose radius is 10m and angle of sector 45 degrees A) 39.27 $m^2$. B) 2250 $m^2$. C) 0.685 $m^2$. D) 32.54 $m^2$. Show Answer Correct Answer: A) 39.27 $m^2$. 45. A horse is grazing in a field. it is tied to a pole with a rope of length 6m. The horse moves from point A to point B making an arc with an angle of 70 degrees. Find the area of the sector grazed by the horse. A) 21.99 m. B) 23.99 m. C) 20.99 m. D) 22.99 m. Show Answer Correct Answer: A) 21.99 m. 46. How many common tangents can be drawn to two concentric circles? A) 1. B) 3. C) 0. D) 2. Show Answer Correct Answer: C) 0. 47. Choose the Correct Answer:The tangents drawn at the end points of a diameter of a circle are ..... A) Perpendicular. B) Parallel. C) All the above. D) None of the above. Show Answer Correct Answer: B) Parallel. 48. The perimeter of a circle having radius 5cm is equal to: A) 30 cm. B) 40 cm. C) 31.4 cm. D) 3.14 cm. Show Answer Correct Answer: C) 31.4 cm. 49. The region bounded by two radii and an arc is called ..... of the circle. A) Circular region. B) Segment. C) Major segment. D) Sector. Show Answer Correct Answer: D) Sector. 50. The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is A) 42 cm. B) 28 cm. C) 56 cm. D) 16 cm. Show Answer Correct Answer: B) 28 cm. 51. The circumferences of two circles are in the ratio 4:9, the ratio of their areas is A) 2:3. B) 16:81. C) 9:4. D) 4:9. Show Answer Correct Answer: A) 2:3. 52. A man goes to a walking track twice a day in the shape of a sector with an angle of 123 degrees and radius of 138m. Find the distance covered by the man in the walking track in a day. A) 890.60 m. B) 340.20 m. C) 550.40 m. D) 1144.50 m. Show Answer Correct Answer: D) 1144.50 m. 53. Find the distance of the point (-6, 8) from the origin A) 9. B) 10. C) 11. D) 8. Show Answer Correct Answer: B) 10. 54. If the sum of areas of two circles with radii R$_{1}$ and R$_{2}$ is equal to the area of the circle of radius R then A) (R$_{1}$)$^{2}$ + (R$_{2}$)$^{2}$ R$^{2}$. B) R$_{1}$ + R$_{2}$ = R. C) (R$_{1}$)$^{2}$ + (R$_{2}$)$^{2}$ = R$^{2}$. D) R$_{1}$ + R$_{2}$ < R. Show Answer Correct Answer: C) (R$_{1}$)$^{2}$ + (R$_{2}$)$^{2}$ = R$^{2}$. 55. A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a card of spade or an ace A) $\frac{4}{13}$. B) $\frac{3}{13}$. C) $\frac{2}{13}$. D) None of these. Show Answer Correct Answer: A) $\frac{4}{13}$. 56. The area of a quadrant of a circle whose circumference is 22 cm, is A) $\frac{77}{8}cm^2$. B) $\frac{22}{7}cm^2$. C) $\frac{11}{8}cm^2$. D) $\frac{77}{2}cm^2$. Show Answer Correct Answer: A) $\frac{77}{8}cm^2$. 57. If Naira and Viaan are playing with two circular rugs, one with a radius of R$_{1}$ and the other with a radius of R$_{2}$, and they find that the sum of the areas of these two rugs is equal to the area of a larger circular rug with radius R, then A) R$_{1}$ + R$_{2}$ = R. B) (R$_{1}$)$^{2}$ + (R$_{2}$)$^{2}$ R$^{2}$. C) R$_{1}$ + R$_{2}$ < R. D) (R$_{1}$)$^{2}$ + (R$_{2}$)$^{2}$ = R$^{2}$. Show Answer Correct Answer: D) (R$_{1}$)$^{2}$ + (R$_{2}$)$^{2}$ = R$^{2}$. 58. The ratio of area of minor segment and the corresponding arc length is A) 4 times radius of the circle. B) 2 times radius of the circle. C) 0.5 times radius of the circle. D) 0.25 times radius of the circle. Show Answer Correct Answer: C) 0.5 times radius of the circle. 59. In a circle of radius 14 cm, an arc subtends an angle of 30$^\circ$ at the centre, the length of the arc is A) 44 cm. B) 22/3 cm. C) 11 cm. D) 28 cm. Show Answer Correct Answer: B) 22/3 cm. 60. The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 40 cm and 9 cm is A) 62 cm. B) 82 cm. C) 41 cm. D) 49 cm. Show Answer Correct Answer: B) 82 cm. Next →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 12 Areas Related To Circles Quiz 2Class 10 Maths Chapter 12 Areas Related To Circles Quiz 3 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books