Question : The area of a circle is the same as the area of a square. What is the ratio of the diameter of the circle and the diagonal of the square?

Option 1: $1:\sqrt{\pi }$

Option 2: $2:\sqrt{\pi }$

Option 3: $\sqrt{2}:\sqrt{\pi }$

Option 4: $1:{\pi }$

Question : The radius of circle A is twice that of circle B and the radius of circle B is twice that of circle C. Their area will be in the ratio:

Option 1: 16 : 4 : 1

Option 2: 4 : 2 : 1

Option 3: 1 : 2 : 4

Option 4: 1 : 4 : 16

Question : The area of a square and rectangle are equal. The length of the rectangle is greater than the length of a side of the square by 10 cm and the breadth is less than 5 cm. The perimeter (in cm) of the rectangle is:

Option 1: 50

Option 2: 40

Option 3: 80

Option 4: 100

Question : A chord of length 7 cm subtends an angle of $60^{\circ}$ at the centre of a circle. What is the radius (in cm) of the circle?

Option 1: $7\sqrt{2}$ cm

Option 2: $7\sqrt{3}$ cm

Option 3: $7$ cm

Option 4: $14$ cm

Question : If the slant height of a cone is 29 cm and its height is 20 cm, find the ratio between the magnitudes of the total surface area and the volume.

Option 1: 5 : 14

Option 2: 7 : 15

Option 3: 3 : 7

Option 4: 3 : 14