Question

A circle perfectly fits in a square of side 1 metre. So, the area of the circle would be 1 metre square.

• A. greater than
• B. less than
• C. equal to

Answer 1

The correct option is B less than

The circle being completely enclosed by the square will have its area lesser than that of the square. The area of square in this case is 1 metre square, as the side length is 1 metre. The diameter of the circle is equal to the side length of the square $⟹$ the radius of the circle = $\frac{1}{2}\text{m}$
$\therefore$ the area of the circle = $\pi \times (\frac{1}{2}{)}^2=0.25\pi =0.785{\text{m}}^2$$<1{\text{m}}^2$