A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ration of 6:5 The smaller side if the rectangle is:_________?

Related Mcqs:

1. The length of a rectangle is two – fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?

   A. 140
   B. 156
   C. 175
   D. 214

2. The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?

   A. 8
   B. 12
   C. 6
   D. 2

3. A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?

   A. 60 cm2
   B. 30 cm2
   C. 45 cm2
   D. 15 cm2

4. The wire bent in the form of a square enclose an area of 484 Sq.cm. If the same wire is bent so as to from a circle than the area enclosed will be_________?

   A. 484Sq.cm
   B. 538 2/7 Sq.cm
   C. 616 Sq.cm
   D. 644 Sq.cm

5. There are two circles of different radii. The area of a square is 196 sq.cm, whose side is half the radius of the larger circle. The radius of the smaller circle is three-seventh that of the larger circle. What is the circumference of the smaller circle ?

   A. 12 π cm
   B. 16 π cm
   C. 24 π cm
   D. 32 π cm

6. The area of a rectangle is thrice that of a square. The length of the rectangle is 40 cm and the breadth of the rectangle is (3/2) times of the square. The side of the square in cm is__________?

   A. 15
   B. 20
   C. 30
   D. 60

7. A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?

   A. 45 cm
   B. 18 cm
   C. 90 cm
   D. None of these

8. The perimeter of a rectangle and square are 160m each. The area of the rectangle is less than that it’s square by 100cm meters. The less than that of the square by 100 sq.meters. the length of rectangle is___________?

   A. 30m
   B. 40m
   C. 50m
   D. 60m

9. The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?

   A. 1 : 96
   B. 1 : 48
   C. 1 : 84
   D. 1 : 68

10. A circle and a rectangle have the same perimeter. The sides of the rectangle are 18cm and 26cm.What is the area of the circle?

    A. 88cm²
    B. 154cm²
    C. 616cm²
    D. 1250cm²