Question

if area of an incircle of a square is 9 Pi CM square then what will be the area of the square​

Answer 1

Given,

Area of an incircle of a square = 9π cm².

To find,

Area of the square.

Solution,

We can solve this problem simply by following the below process.

The incircle of a square can be defined as, "a circle inside the square that touches all the sides of the square".

It means that the sides of the square will be equal to the diameter of the incircle.

Here, the area of the incircle is 9π cm².

Let, the radius of the circle be r. So, the incircle area will be

π·r²

⇒ π·r² = 9π

⇒ r² = 9

⇒ r = 3 cm

Since the diameter of the circle = 2r, the side of the square will also be = 2r.

So, side of the square = 2·(3) = 6 cm.

Let, the area of the square be A.

⇒ A = (side)²

⇒ A = (6)²

⇒ A = 36 cm².

Therefore, the area of the square will be 36 cm².

Answer 2

Step-by-step explanation:

36cm² is tbe answer of the question