This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 12 Areas Related To Circles β Quiz 2 π Homepage π Download PDF Books π Premium PDF Books Class 10 Maths Chapter 12 Areas Related To Circles Quiz 2 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If A= area of the minor sector and B= corresponding arc length, then choose the correct relation A) A=B*radius/2. B) A=2*B* radius. C) B=A*radius/2. D) B=2*A*radius. Show Answer Correct Answer: A) A=B*radius/2. 2. If the area of the circle is 50 $cm^2$ A) 16.67 $cm^2$. B) 18.17 $cm^2$. C) 14.57 $cm^2$. D) 17.47 $cm^2$. Show Answer Correct Answer: A) 16.67 $cm^2$. 3. $\frac{\theta}{360}\times\pi r^2$ A) Segment of the circle. B) Arc of the circle. C) Circumference of the circle. D) Sector of the circle. Show Answer Correct Answer: D) Sector of the circle. 4. What is the mirror image of (3, 9) considering x-axis as mirror? A) (3, -9). B) (9, 3). C) (-9, -3). D) (-3, -9). Show Answer Correct Answer: A) (3, -9). 5. If the perimeter of the circle and square are equal, then the ratio of their areas will be equal to: A) 7:22. B) 14:11. C) 22:7. D) 11:14. Show Answer Correct Answer: B) 14:11. 6. The area of the circle is 154 cm2. The perimeter of the circle is A) 11 cm. B) 22 cm. C) 44 cm. D) 55 cm. Show Answer Correct Answer: C) 44 cm. 7. 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) 5 units. B) 4 units. C) 3 units. D) 25 units. Show Answer Correct Answer: A) 5 units. 8. 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. 9. 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) 200 $cm^2$. B) 220 $cm^2$. C) 231 $cm^2$. D) 250 $cm^2$. Show Answer Correct Answer: C) 231 $cm^2$. 10. 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) 48.25 cm. D) 436.33 cm. Show Answer Correct Answer: B) 43.63 cm. 11. 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$_{1}$ + R$_{2}$ < R. D) R$_{1}$$^{2}$ + R$_{2}$$^{2}$ < R$^{2}$. Show Answer Correct Answer: B) R$_{1}$$^{2}$ + R$_{2}$$^{2}$ = R$^{2}$. 12. If the sum of the areas of two circles with radii $R_1$ $R_2$ A) $R_1+R_2=R$. B) $R_1+R_2 C) $R_1^2+R_2^2 D) $R_1^2+R_2^2=R^2$. Show Answer Correct Answer: D) $R_1^2+R_2^2=R^2$. 13. In making 1000 revolutions, a wheel covers 88 km. The diameter of the wheel is A) 14 m. B) 24 m. C) 28 m. D) 40 m. Show Answer Correct Answer: C) 28 m. 14. 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) 20 cm. B) 21 cm. C) 22 cm. D) 25 cm. Show Answer Correct Answer: C) 22 cm. 15. Area of the sector of a circle whose radius is 10m and angle of sector 45 degrees A) 0.685 $m^2$. B) 2250 $m^2$. C) 39.27 $m^2$. D) 32.54 $m^2$. Show Answer Correct Answer: C) 39.27 $m^2$. 16. 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) 20.99 m. B) 21.99 m. C) 22.99 m. D) 23.99 m. Show Answer Correct Answer: B) 21.99 m. 17. How many common tangents can be drawn to two concentric circles? A) 1. B) 2. C) 3. D) 0. Show Answer Correct Answer: D) 0. 18. 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. 19. Choose the correct answer:If the circumference of a circle and the perimeter of a square are equal, then A) Area of circle = Area of square. B) Area of circle > Area of square. C) Area of circle D) Nothing can be said about the relation of areas. Show Answer Correct Answer: B) Area of circle > Area of square. 20. The perimeter of a circle having radius 5cm is equal to: A) 30 cm. B) 3.14 cm. C) 31.4 cm. D) 40 cm. Show Answer Correct Answer: C) 31.4 cm. 21. The region bounded by two radii and an arc is called ..... of the circle. A) Segment. B) Sector. C) Circular region. D) Major segment. Show Answer Correct Answer: B) Sector. 22. 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) 56 cm. B) 42 cm. C) 28 cm. D) 16 cm. Show Answer Correct Answer: C) 28 cm. 23. The circumferences of two circles are in the ratio 4:9, the ratio of their areas is A) 9:4. B) 4:9. C) 2:3. D) 16:81. Show Answer Correct Answer: C) 2:3. 24. 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) 340.20 m. B) 550.40 m. C) 1144.50 m. D) 890.60 m. Show Answer Correct Answer: C) 1144.50 m. 25. Find the distance of the point (-6, 8) from the origin A) 8. B) 11. C) 10. D) 9. 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