The maximum area of the circle that can be drawn within a square of side 4 cm is:

Correct option is A

To find the maximum area of a circle that can be drawn within a square of side 4 cm, we need to draw a circle inscribed in the square — that is, the circle that just touches all four sides.

Step 1: Radius of the inscribed circle

Since the circle fits perfectly inside the square:

• Diameter of the circle = Side of the square = 4 cm

• Radius r= 42\frac{4}{2}24​​ = 2 cm

Step 2: Area of the circle

Area=πr2=π(2)2=4πcm2\text{Area} = \pi r^2 = \pi (2)^2 = 4\pi \text{cm}^2Area=πr2=π(2)2=4πcm2​