Question : A is the centre of a circle whose radius is 8 units, and B is the centre of a circle whose diameter is 8 units. If these two circles touch externally, then the area of the circle with diameter AB is:

Option 1: $36\pi$ sq. units

Option 2: $64\pi$ sq. units

Option 3: $144\pi$ sq. units

Option 4: $256\pi$ sq. units

Question : A circle and a square have the same area. The ratio of the side of the square to the radius of the circle will be:

Option 1: $\sqrt\pi:1$

Option 2: $1:\sqrt\pi$

Option 3: $(\pi)^2:1$

Option 4: $1:\sqrt2\pi$

Question : The areas of a circle and a square are the same. The ratio of the side of the square to the radius of the circle is:

Option 1: $2\pi :1$

Option 2: $1:\sqrt{\pi}$

Option 3: $\sqrt{\pi}:1$

Option 4: $1:\pi$

Question : The area of the square inscribed in a circle of radius 8 cm is:

Option 1: $256\;\mathrm{cm^2}$

Option 2: $250\;\mathrm{cm^2}$

Option 3: $128\;\mathrm{cm^2}$

Option 4: $125\;\mathrm{cm^2}$

Question : The area of triangle formed by the straight line $3x + 2y = 6$ and the co-ordinate axes is:

Option 1: 3 square units

Option 2: 6 square units

Option 3: 4 square units

Option 4: 8 square units