The area of the greatest circle that can be inscribed inside a square of side 21 cm is:

Correct option is C

Given:

Side of the square = 21 cm

Formula Used:
Area of a circle is given by:

Area = $$\pi r^2$$​

Solution:

A circle is inscribed, so its diameter = side of the square
Radius =$$\frac{21}{2} =$$​ 10.5 cm

Area =$$\frac{22}{7} \times (10.5)^2$$​

=$$\frac{22}{7} \times 110.25 = 346.5 \text{ cm}^2$$​

The area of the greatest inscribed circle is 346.5 cm²