This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 12 Areas Related To Circles β Quiz 4 π Homepage π Download PDF Books π Premium PDF Books Class 10 Maths Chapter 12 Areas Related To Circles Quiz 4 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If the sum of the areas of two circles with radii R$_{1}$ and R$_{2}$ 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$_{1}$ + R$_{2}$ < R. D) R$_{1}$$^{2}$ + R$_{2}$$^{2}$ < R$^{2}$. Show Answer Correct Answer: B) R$_{1}$$^{2}$ + R$_{2}$$^{2}$ = R$^{2}$. 2. A race track is in the form of a circular ring whose outer and inner circumferences are 396 m and 352 m respectively. The width of the track is A) Taste. B) 56m. C) 7m. D) P. Kin. Show Answer Correct Answer: C) 7m. 3. What is the area of a minor segment of a circle? A) Area of sector-Area of triangle. B) Area of triangle-Area of sector. C) Area of sector + Area of triangle. D) Area of circle-Area of triangle. Show Answer Correct Answer: A) Area of sector-Area of triangle. 4. Area of square inscribed in a circle of unit radius is A) 4 square unit. B) 1 square unit. C) 2 square unit. D) 3 square unit. Show Answer Correct Answer: C) 2 square unit. 5. Diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is A) 31 cm. B) 25 cm. C) 64 cm. D) 50 cm. Show Answer Correct Answer: D) 50 cm. 6. What will be the area of the major sector of a circle, if minor arc subtends an angle of 30 degrees and area of circle is 50 square centimeters? A) 0.4583 $cm^2$. B) 4.583 $cm^2$. C) 458.3 $cm^2$. D) 45.83 $cm^2$. Show Answer Correct Answer: D) 45.83 $cm^2$. 7. (0, 0), (3, 0) and (0, -3) forms ..... triangle. A) Isosceles. B) Right. C) Both. D) None. Show Answer Correct Answer: C) Both. 8. The radii of two circles are 19 cm and 9 cm respectively. The radius of the circle which has circumference equal to the sum of the circumference of two circles is A) 35 cm. B) 10 cm. C) 21 cm. D) 28 cm. Show Answer Correct Answer: D) 28 cm. 9. In a right angled triangle ABC, right angled at B, BC = 12 cm and AB = 5 cm. The radius of the circle inscribed in the triangle is A) 4 cm. B) 3 cm. C) 2 cm. D) 1 cm. Show Answer Correct Answer: C) 2 cm. 10. The perimeter (in cm ) of a square circumscribing a circle of radius a cm, is A) 8 a. B) 4 a. C) 2 a. D) 16 a. Show Answer Correct Answer: C) 2 a. 11. If angle of sector is 60$^\circ$, radius is 3.5 cm then length of the arc is A) 3 cm. B) 3.5 cm. C) 3.66 cm. D) 3.8 cm. Show Answer Correct Answer: C) 3.66 cm. 12. The largest triangle inscribed in a semi-circle of radius r, then the area of that triangle is; A) $r^2$. B) $\frac{1}{2}r^2$. C) $2r^2$. D) $ \sqrt {2} r^2 $. Show Answer Correct Answer: A) $r^2$. 13. Number of types of sectors in a circle are A) 2. B) 3. C) 4. D) 1. Show Answer Correct Answer: A) 2. 14. The diameters of front and rear wheels of a tractor are 80 cm and 2 m, respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions. A) 460. B) 560. C) 630. D) 760. Show Answer Correct Answer: B) 560. 15. What is the fixed point called in a circle? A) Centre. B) Circumference. C) Diameter. D) Radius. Show Answer Correct Answer: A) Centre. 16. If AB is a chord of length 5 $\sqrt[]{3}$ A) 3 $\pi$. B) 8 $\pi$. C) 25 $\pi$. D) 25 $\pi$. Show Answer Correct Answer: C) 25 $\pi$. 17. The circumferences of two circles are in the ratio 3:4. The ratio of their areas is A) 3:4. B) 4:3. C) 9:16. D) 16:9. Show Answer Correct Answer: C) 9:16. 18. If the area of a circle is 154 cm2, then its perimeter is A) 11 cm. B) 22 cm. C) 44 cm. D) 55 cm. Show Answer Correct Answer: C) 44 cm. 19. If a wire is bent into the shape of a square the area is $81cm^2$ A) 22 $cm^2$. B) 44 $cm^2$. C) 77 $cm^2$. D) 154 $cm^2$. Show Answer Correct Answer: C) 77 $cm^2$. 20. The perimeter of a circular field is 242 m. The area of the field is A) 9317 $m^2$. B) 18634 $m^2$. C) 4658.5 $m^2$. D) None of these. Show Answer Correct Answer: C) 4658.5 $m^2$. 21. The perimeter of the sector with a radius of 10.5 cm and sector angle of 60$^\circ$ is ..... A) 32 cm. B) 23 cm. C) 41 cm. D) 11 cm. Show Answer Correct Answer: A) 32 cm. 22. If the area of minor sector of a circle and the length of arc of the corresponding sector are numerically equal, then the radius of the circle is A) 1 units. B) 2 units. C) 3 units. D) 4 units. Show Answer Correct Answer: B) 2 units. 23. If the perimeter of a circle is equal to that of square, then the ratio of the area of circle to square is A) 22:7. B) 14:11. C) 7:22. D) 11:14. Show Answer Correct Answer: B) 14:11. 24. The area of the circle that can be inscribed in a square of side 8 cm is A) 36 p cm2. B) 16 p cm2. C) 12 p cm2. D) 12 p cm2. Show Answer Correct Answer: B) 16 p cm2. 25. (2, 3), (3, 5) and(0, -1) are ..... A) Collinear. B) Non collinear. C) We can nott say. D) None. 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