This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 12 Areas Related To Circles β Quiz 1 π Homepage π Download PDF Books π Premium PDF Books Class 10 Maths Chapter 12 Areas Related To Circles Quiz 1 (25 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) 27. B) 17. C) 37. D) 47. Show Answer Correct Answer: A) 27. 2. The perimeter of the circle is equal to that of a square, then the ratio of their areas is A) 22:7. B) 14:11. C) 7:22. D) 11:14. 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) $\frac{275}{6}cm^2$. B) $\frac{300}{6}cm^2$. C) $\frac{220}{6}cm^2$. D) $\frac{375}{12}cm^2$. Show Answer Correct Answer: A) $\frac{275}{6}cm^2$. 5. If the curcumference of a circle is 132cm, then radius of the circle is ..... A) 7. B) 14. C) 21. D) 28. Show Answer Correct Answer: C) 21. 6. The length of the minute hand of a clock is 21 cm. The area swept by the minute hand in 10 minutes is A) 231 $cm^2$. B) 210 $cm^2$. C) 126 $cm^2$. D) 252 $cm^2$. Show Answer Correct Answer: A) 231 $cm^2$. 7. 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) 21 cm. C) 22 cm. D) 24 cm. Show Answer Correct Answer: B) 21 cm. 8. What is the part of a circle enclosed between a chord and the corresponding arc called? A) Quadrant. B) Sector. C) Segment. D) Semicircle. Show Answer Correct Answer: C) Segment. 9. 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$^\circ$. 10. Area of segment of a circle = A) Area of circle-area of sector. B) Area of sector-area of circle. C) Area of triangle-area of sector. D) Area of sector-area of triangle. Show Answer Correct Answer: D) Area of sector-area of triangle. 11. $\frac{1}{4}\times\pi r^2$ A) Area of the half of the circle. B) Area of the quadrant of the circle. C) Area of three quadrant of the circle. D) Area of the circle. Show Answer Correct Answer: B) Area of the quadrant of the circle. 12. 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) 8 cm. C) 9 cm. D) 6 cm. Show Answer Correct Answer: B) 8 cm. 13. The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is A) $153.9cm^2$. B) $102.6cm^2$. C) $51.3cm^2$. D) $205.2cm^2$. Show Answer Correct Answer: C) $51.3cm^2$. 14. Find the area of a sector of circle of radius 21 cm and central angle 120$^\circ$. A) 441 cm2. B) 462 cm2. C) 386 cm2. D) 512 cm2. Show Answer Correct Answer: B) 462 cm2. 15. 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) 25 cm. B) 31 cm. C) 50 cm. D) 62 cm. Show Answer Correct Answer: A) 25 cm. 16. The perimeter of a sector of a circle whose central angle is 90$^\circ$ and radius 7 cm is A) 35 cm. B) 25 cm. C) 77 cm. D) 7 cm. Show Answer Correct Answer: B) 25 cm. 17. Central angle in a quarter circle is ..... A) 60. B) 90. C) 180. D) 30. Show Answer Correct Answer: B) 90. 18. 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. 19. 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) 30 cm. B) 60 cm. C) 70 cm. D) 80 cm. Show Answer Correct Answer: B) 60 cm. 20. $\pi=$ A) $\frac{C}{d}$. B) $\frac{C}{2d}$. C) $\frac{C}{r}$. D) $\frac{A}{C}$. Show Answer Correct Answer: A) $\frac{C}{d}$. 21. If the perimeter of a circle is equal to that of a square, then the ratio of their areas is: A) 22:7. B) 7:22. C) 11:14. D) 14:11. Show Answer Correct Answer: D) 14:11. 22. The area of the square that can be inscribed in a circle of radius 8 cm is A) 256 cm$^{2}$. B) 128 cm$^{2}$. C) 642 cm$^{2}$. D) 64 cm$^{2}$. Show Answer Correct Answer: B) 128 cm$^{2}$. 23. If the sum of the circumferences of two circles with radii $R_1$ $R_2$ A) $R_1+R_2=R$. B) $R_1+R_2>R$. C) $R_1+R_2 D) None of these. Show Answer Correct Answer: A) $R_1+R_2=R$. 24. If the circumference of a circle is 66 cm, the area of the circle is A) 132 $cm^2$. B) 462 $cm^2$. C) 173.25 $cm^2$. D) 346.5 $cm^2$. Show Answer Correct Answer: B) 462 $cm^2$. 25. The difference between the circumference and radius of a circle is 37 cm. The area of the circle is A) 111 $cm^2$. B) 184 $cm^2$. C) 154 $cm^2$. D) 259 $cm^2$. Show Answer Correct Answer: C) 154 $cm^2$. 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