Question

What is the area of the largest circle in sq. cm that can be inscribed in a square of side 14 cm?

• A. $136c{m}^2$
• B. $154c{m}^2$
• C. $162c{m}^2$
• D. $178c{m}^2$

Answer 1

The correct option is B $154c{m}^2$

If we want to inscribe a circle inside a square it will look as follows:
Here, the side of the square measuring 14 cm will act as the diameter of the circle.
This implies the radius of the circle will be = 7 cm
Area of a circle having radius as 'r' is given by
A = $\pi r^2$
A = $\frac{22}{7}\times 7\times 7$
A = $154c{m}^2$