This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 12 Areas Related To Circles – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 12 Areas Related To Circles Quiz 3 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 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) $\frac{4}{13}$. 2. The area of a quadrant of a circle whose circumference is 22 cm, is A) $\frac{22}{7}cm^2$. B) $\frac{11}{8}cm^2$. C) $\frac{77}{2}cm^2$. D) $\frac{77}{8}cm^2$. Show Answer Correct Answer: D) $\frac{77}{8}cm^2$. 3. 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: B) (R$_{1}$)$^{2}$ + (R$_{2}$)$^{2}$ = R$^{2}$. 4. The ratio of area of minor segment and the corresponding arc length is A) 0.25 times radius of the circle. B) 0.5 times radius of the circle. C) 4 times radius of the circle. D) 2 times radius of the circle. Show Answer Correct Answer: B) 0.5 times radius of the circle. 5. 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) 28 cm. C) 11 cm. D) 22/3 cm. Show Answer Correct Answer: D) 22/3 cm. 6. 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) 82 cm. B) 41 cm. C) 49 cm. D) 62 cm. Show Answer Correct Answer: A) 82 cm. 7. The wheel of a motor cycle is of radius 35 cm. How many revolutions per minute must the wheel make so as to keep a speed of 66 km/h? A) 300. B) 400. C) 450. D) 500. Show Answer Correct Answer: D) 500. 8. Shaan is designing a circular garden and decides to create a sector of the garden that has an angle of 90$^\circ$. What is the ratio of the area of the entire garden to the area of the sector? A) 1:4. B) 1:2. C) 4:1. D) 2:3. Show Answer Correct Answer: C) 4:1. 9. The circumference of a circle is equal to the sum of the circumferences of two circles having diameters 36 cm and 20 cm. The radius of the new circle is A) 16 cm. B) 28 cm. C) 42 cm. D) 56 cm. Show Answer Correct Answer: B) 28 cm. 10. If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is A) 4 units. B) 6 units. C) 8 units. D) 2 units. Show Answer Correct Answer: C) 8 units. 11. If the sum of the circumferences of two circles with radii R1 and R2 is equal to the circumference of a circle of radius R, then A) R1+ R2= R. B) R1+ R2< R. C) R1+ R2> R. D) Nothing definite can be said about the relation between the areas of the circle and square. Show Answer Correct Answer: A) R1+ R2= R. 12. The coordinates of which divides the line segment joining the points (3, -4) and (-2, 5) in the ratio 1:3 is ..... A) (-7/4, -7/4). B) (7/4, -7/4). C) (-7/4, 7/4). D) (7/4, 7/4). Show Answer Correct Answer: B) (7/4, -7/4). 13. In a $\Delta$ $\angle A$ $\perp$ A) 13/2 cm. B) 60/13 cm. C) 13/60 cm. D) 2 $\sqrt[]{15}$. Show Answer Correct Answer: B) 60/13 cm. 14. If the perimeter of a semicircular protractor is 36 cm, find its diameter. A) 7 cm. B) 3.5 cm. C) 14 cm. D) 28 cm. Show Answer Correct Answer: C) 14 cm. 15. The region between the chord and the corresponding arc is called A) Sector. B) Circumference. C) Segment. D) Quadrant. Show Answer Correct Answer: C) Segment. 16. The longest chord passing through centre and whose end point lies on circle is called ..... A) Major chord. B) Diameter. C) Circumference. D) Major arc. Show Answer Correct Answer: B) Diameter. 17. The areas of two circles are in the ratio 9:4. The ratio of their circumferences is A) 3:2. B) 4:9. C) 2:3. D) 81:16. Show Answer Correct Answer: A) 3:2. 18. The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km? A) 2800. B) 4000. C) 5500. D) 7000. Show Answer Correct Answer: D) 7000. 19. On decreasing the radius of a circle by 30%, its area is decreased by A) 30%. B) 60%. C) 45%. D) None of these. Show Answer Correct Answer: D) None of these. 20. The line joining any two points on the circle is ..... of the circle. A) Chord. B) Radius. C) Sector. D) Area. Show Answer Correct Answer: A) Chord. 21. What is the formula for the area of segment of a circle? A) Area of the corresponding sector / Area of the corresponding triangle. B) Area of the corresponding sector + Area of the corresponding triangle. C) Area of the corresponding sector-Area of the corresponding triangle. D) Area of the corresponding sector * Area of the corresponding triangle. Show Answer Correct Answer: C) Area of the corresponding sector-Area of the corresponding triangle. 22. The area of a quadrant of a circle with circumference of 22 cm is A) 77 cm2. B) 77/8 cm2. C) 35.5 cm2. D) 77/2 cm2. Show Answer Correct Answer: B) 77/8 cm2. 23. The wheel of a motorcycle is of radius 35 cm. The number of revolutions per minute must the wheel make so as to keep a speed of 66 km/hr will be A) 50. B) 100. C) 500. D) 1000. Show Answer Correct Answer: C) 500. 24. Manu looks at a clock at 3 pm, again he looks at clock, then it was 7 pm what is the area sweeped by the hour hand of the clock if the length of hour hand is 5cm A) 26.18 $dm^2$. B) 26.18 $mm^2$. C) 26.18 $m^2$. D) 26.18 $cm^2$. Show Answer Correct Answer: D) 26.18 $cm^2$. 25. The probability of a non-leap year having 53 Mondays is A) $\frac{1}{7}$. B) $\frac{2}{7}$. C) $\frac{3}{7}$. D) $1$. 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