Question

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

Answer 1

Given

a circle is inscribed in a circle of side a

So the diameter of the circle would be a

We know that, radius = diameter/2

=> When diameter is a cm,
radius = a/2 cm.

We know that area of a circle = πr²
putting r as a/2 we get,

=> area = π(a/2)²

=> area = π × a²/4

=> area = a²π/4

Answer :- a²π/4



Other information :-

Area of square = a²

So their ratio = a² : πa²/4

= 1 : π/4

= 4 : π (after simplifying)