The perimeter of any given circle is 2π times the radius. The diameter of these circles are given to be 32cm, so the radius of these circles are all equal to 16 cm.
The perimeter of the circle = 2 × π × r = 2 × π × 16 = 100.53088 cm.
100.53088 square cm is the perimeter of a full circle with a radius of 16 cm. We only have semicircles, so we divide the perimeter by 2 to convert the circle into a semicircle.
The perimeter of the semicircle = 100.53088 / 2 = 50.26544 cm.
There are 4 such semicircles with the same radii, so length of the entire wire = 50.26544 × 4 = 201.06176 cm. Rounding this value off to the nearest hundredth, we have the length of wire = 201.06 cm.
