Question : Four circles of equal radii are described around the four corners of a square so that each touches two of the other circles. If each side of the squares is 140 cm, then the area of the space enclosed between the circumference of the circle is: (Take $\pi=\frac{22}{7}$)

Option 1: 4200 cm²

Option 2: 2100 cm²

Option 3: 7000 cm²

Option 4: 2800 cm²

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 : Two identical circles each of radius 30 cm intersect each other such that the circumference of each one passes through the centre of the other. What is the area of the intersecting region?

Option 1: $400 \pi-250 \sqrt{3} \mathrm{~cm}^2$

Option 2: $300 \pi-150 \sqrt{3} \mathrm{~cm}^2$

Option 3: $500 \pi-350 \sqrt{3} \mathrm{~cm}^2$

Option 4: $600 \pi-450 \sqrt{3} \mathrm{~cm}^2$

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 : A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. The area of the circle is: (take $\pi=\frac{22}{7}$)

Option 1: 125 cm²

Option 2: 230 cm²

Option 3: 550 cm²

Option 4: 616 cm²