A circular wire of length 176 cm is rebound to a rectangle whose length is same as the diameter of the circle. Find the difference in both the areas ?

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

6350

Step-by-step explanation:

im pretty sure