Question

a wire in the form of a square with side 22 cm It is reshaped and bent into the form of a circle calculate the area of the circle ​

Answer 1

Answer:

Area of the circle is 616 sq.cm.

Step-by-step explanation:

Given :

Length of the side of square = 22cm.

Length of wire=perimeter of square

As we know that,

Perimeter of square= 4 × length of side

                                 = 4 × 22

                                =88 cm.

As the wire is reshaped and bent into the form of circle.

length of wire=perimeter of square=circumference of circle

Circumference of circle = 2 $\pi$ r (where r =radius of the circle)

                              88  = 2 × (22/7) × r   ($\pi$ =22 /7)

                              r =(88 × 7) / (2 × 22)

                                =14 cm.

Area of circle = $\pi$ $r^{2}$

                       = ( 22 /7 ) × $14^{2}$

                       = 22 × 2 × 14

                       = 616 sq.cm.