Final answer:
The total perimeter of the two pieces after cutting a circle with a diameter of 6 in half is 12π.
Step-by-step explanation:
To find the total perimeter of the two pieces after cutting a circle with a diameter of 6 in half, we need to calculate the perimeter of each half and then add them together.
The circumference of a circle can be found using the formula C = 2πr where r is the radius. Since the diameter is given, we can divide it by 2 to get the radius, which in this case is 3.
So, the perimeter of each half-circle is 2π(3) = 6π.
To find the total perimeter, we add the perimeters of the two half-circles: 6π + 6π = 12π.
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