Answer:
The difference in area is 672 cm^2
Step-by-step explanation:
Firstly, let us get the diameter of the circle
The length of the wire is the measure of the circle’s circumference
mathematically;
C = pi * d
176 = 22/7 * d
22d = 7 * 176
d = (7 * 176)/22
d = 56 cm
So, the area of the circle will be;
pi * d^2/4
= 22/7 * 56 * 56 * 1/4
= 2464 cm^2
Also, the length of the circumference is same as the perimeter of the rectangle
From the perimeter of the rectangle, we can get the width and use that to calculate the area of the rectangle
The formula for the perimeter of the rectangle is;
2(l + b)
2(56 + b) = 176
56 + b = 88
b = 88-56
b = 32 cm
So, the area of the rectangle will be;
32 * 56 = 1792 cm^2
The difference between the two areas will be;
2464-1792 = 672 cm^2
