Question

A piece of string fits exactly once around the perimeter of a square whose area is 144. Rounded to the nearest whole number, what is the area of the largest circle that can be formed from the piece of string?

Answer 1

Answer:A=183cm^

Step-by-step explanation:

The area of square is :

Let s be side

A= s^2

144= s^2

Square both side

Therefore

s=sqrt(144)

s=12 cm

The perimeter of the square is : 4× s= 4×12= 48cm

So the perimeter of the square is equal to the circumference of the circle.

The equation will be:

4×s=2×pi×r

4×12=2× (22/7)×r

r=48/6.29

r=7.63

Area of a circle is:

A=pi× r^2

A= (22/7) × (7.63)^2

A=182.9674cm^2

A=183cm^