/20 1234567891011121314151617181920 Test Code: MC11L3 1 / 20 1. Is it true to say that area of segment of a circle is less than the area of its corresponding sector? A) True B) False 📝 Solution: False It is true only in the case of minor segment. But in case of major segment area is always greater than the area of sector. 2 / 20 2. If the circumference of a circle and the perimeter of a square are equal, then A) Area of the circle > Area of the square B) Area of the circle = Area of the square C) Area of the circle < Area of the square D) Nothing definite can be said about the relation between the areas of the circle and square 📝 Solution: (b) According to the given condition, Circumference of a circle = Perimeter of square 3 / 20 3. Area of the largest triangle that can be inscribed in a semi-circle of radius r units is A) √2 r² sq units B) r² sq units C) 2r² sq units D) 1/2 r² sq units 📝 Solution: 4 / 20 4. Is the area of the circle inscribed in a square of side a cm, πa² cm² ? A) True B) False 📝 Solution: 5 / 20 5. It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be A) 10 m B) 24 m C) 15 m D) 20 m 📝 Solution: (a) Area of first circular park, whose diameter is 16 m 6 / 20 6. The 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) 62 cm B) 25 cm C) 50 cm D) 31 cm 📝 Solution: 7 / 20 7. In figure, a square is inscribed in a circle of diameter d and another square is circumscribing the circle. Is the area of the outer square four times the area of the inner square? A) True B) False 📝 Solution: 8 / 20 8. Is the area of the largest circle that can be drawn inside a rectangle of length a cm and breadth b cm (a > b) is π b cm? A) False B) True 📝 Solution: False The area of the largest circle that can be drawn inside a rectangle is π (b/2)² cm, where π b/2 is the radius of the circle and it is possible when rectangle becomes a square. 9 / 20 9. The area of the square that can be inscribed in a circle of radius 8 cm is A) 256 cm² B) 64 cm² C) 64√5 cm² D) 128 cm² 📝 Solution: 10 / 20 10. If the perimeter of a circle is equal to that of a square, then the ratio of their areas is A) 22:7 B) 11:14 C) 14:11 D) 7:22 📝 Solution: 11 / 20 11. Is it true that the distance travelled by a circular wheel of diameter d cm in one revolution is 2πd cm? A) True B) False 📝 Solution: False Because the distance travelled by the wheel in one revolution is equal to its circumference i.e., πd. i.e., π(2r) = 2 πr = Circumference of wheel [∵d = 2r] 12 / 20 12. The numerical value of the area of a circle is greater than the numerical value of its circumference. Is this statement true? A) True B) False 📝 Solution: False If 0< r< 2, then numerical value of circumference is greater than numerical value of area of circle and if r > 2, area is greater than circumference. 13 / 20 13. 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) 65 cm B) 28 cm C) 52 cm D) 42 cm 📝 Solution: 14 / 20 14. Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 80 cm? A) True B) False 📝 Solution: 15 / 20 15. In covering a distance s m, a circular wheel of radius r m makes revolution. Is this statement true? A) True B) False 📝 Solution: True The distance covered in one revolution is 2πr i.e., its circumference. 16 / 20 16. Circumference of two circles are equal. Is it necessary that their areas be equal? A) True B) False 📝 Solution: True If circumference of two circles are equal, then their corresponding radii are equal. So, their areas will be equal. 17 / 20 17. The area of two sectors of two different circles with equal corresponding arc lengths are equal. Is this statement true? A) False B) True 📝 Solution: False It is true for arcs of the same circle. But in different circle, it is not possible. 18 / 20 18. The areas of two sectors of two different circles are equal. Is it necessary that their corresponding arc lengths are equal? A) False B) True 📝 Solution: False It is true for arcs of the same circle. But in different circle, it is not possible 19 / 20 19. If the sum of the circumferences of two circles with radii R and R is equal to the circumference of a circle of radius R, then A) R1 + R2 > R B) Nothing definite can be said about the relation among R1, R2 and R C) R1 + R2 = R D) R1 + R2 < R 📝 Solution: 20 / 20 20. The area of the circle that can be inscribed in a square of side 6 cm is A) 18π cm B) 12π cm² C) 36π cm² D) 9π cm² 📝 Solution: Your score isShare Your Score with Friends Facebook Twitter 0% Send feedback
