Question

Find the area of the circle inscribed in a square of side a cm

Answer 1

it's tooo simple.
side a cm
so diagonal=
$\sqrt{2} a$
of square ,when diagonal=diameter ,then radius=diagonal/2,then
radius=a/root 2
then area =

2/root 2 ka whole square *pie

Answer 2

Answer:

$A=\frac{\pi a^2}{4}$

Step-by-step explanation:

The side of the square = a cm.

Rule:

The radius of the inscribed circle is half of the side length of the square.

Using this rule,

the radius of circle  = $r= \frac{1}{2}a$

hence, the area of the inscribed circle is

$A=\pi r^2\\\\A=\pi(\frac{1}{2}a)^2\\\\A=\frac{\pi a^2}{4}$