Question

The circumference of the incircle of a square with side 14 cm is :
(A) 22 cm
(B) 44 cm
(C) 33 cm
(D) 55 cm​

Answer 1

$\huge \text{Solution}$

Let ABCD be the square with side 14 cm.

⇒ BC = 14 cm

Let the circle centered at E be the incircle of the ABCD.  

BC = diameter of the circle = 14 cm  

⇒ Radius of the circle = 7 cm

Given that radius of the circle = 7 cm

We know that circumference of the circle = 2πr

⇒ Circumference = $22 *\frac{22}{7} *7= 44cm$

Answer 2

Answer:

44 cm.

$\Large\underline\mathbf\blue{Solution \: :}$

Let ABCD be the square whose sides are 14 cm .

The side BC of the square, BC = 14 cm

Let the circle centered O be the incircle of the ABCD.

BC is the diameter of the circle = 14 cm.

$\Rightarrow$ Radius of the circle = 7 cm.

Given : Radius of the circle is = 7 cm.

Circumference of the circle = 2 πr .

→ $2 \times \frac {22}{7} \times 7$

→ 44 cm.

•°• The circumference of the incircle of a square with side 14 cm is 44 cm.