Question : The breadth of a rectangle is $\frac{4}{5}$th of the radius of a circle. The radius of the circle is $\frac{1}{5}$ of the side of a square, whose area is 625 cm². What is the area of the rectangle if the length of the rectangle is 20 cm?

Option 1: 150 cm²

Option 2: 600 cm²

Option 3: 100 cm²

Option 4: 80 cm²

Question : If the diameter of a circle is 14 cm, find the area of the sector of the circle whose central angle measures $60^{\circ}$.

Option 1: 18.12 cm²

Option 2: 25.66 cm²

Option 3: 38.12 cm²

Option 4: 21.66 cm²

Question : What is the area of the lateral surface of a right circular cylinder, If the circumference of the base is 22 cm and its height is four times its radius?

Option 1: 388 cm²

Option 2: 308 cm²

Option 3: 408 cm²

Option 4: 288 cm²

Question : The area of a circle is 1386 cm². What is the radius of the circle? [Use $\pi=\frac{22}{7}$ ]

Option 1: 21 cm

Option 2: 7 cm

Option 3: 14 cm

Option 4: 18 cm

Question : When a wire is bent in the form of a square, then the area enclosed by it is 5929 cm². If the wire is bent into the form of a circle, then what will be the area enclosed by the wire?

Option 1: 7546 cm²

Option 2: 8542 cm²

Option 3: 7632 cm²

Option 4: 6954 cm²