The area of the largest circle, that can be drawn inside a rectangle with sides 18 cm. by 14 cm, is

Given:

Length of the rectangle = 18 cm.

Breadth of the rectangle = 14 cm.

Formula Used:

Area of the circle = πr²

Calculation:

The largest circle that can be drawn inside the rectangle will have a diameter equal to the smaller side of the rectangle.

Diameter of the circle = 14 cm.

Radius of the circle = Diameter / 2

Radius of the circle = 14 / 2 = 7 cm.

Now,

Area of the circle = πr²

Area of the circle = 22/7 × 7²

Area of the circle = 22 × 7 = 154 cm²

∴ The correct answer is option (2).