We need to find the dimension of the square and circle before finding the area of each object.
Find the dimension of the square (the side)
The perimeter of the square is 48 in, the perimeter is the sum of four congruent sides.
p = 48
4s = 48
s = 48/4
s = 12
The side of the square is 12 in
Find the dimension of the circle (the radius)
The circumference of the circle is 37.68 in
c = 37.68
2πr = 37.68
πr = 37.68/2
πr = 18.84
r = 18.84/π
r = 18.84/3.14
r = 6
The radius of the circle is 6 in
Find the area of the square and the circle
a square = s²
a square = 12²
a square = 144
The area of the square is 144 in²
a circle = πr²
a circle = π(6²)
a circle = π(36)
a circle = 3.14(36)
a circle = 113.04
The area of the circle is 113.04 in²
Find the difference between area of square and area of circle
difference = a square - a circle
difference = 144 - 113.04
difference = 30.96
The difference of the area is 30.96 in²
