The square shown has a perimeter of 32 units. The square is
rotated about line k.
What shape is created by the rotation and what is the
approximate circumference of the base?
Circumference of a circle: C = 2tr
a cone with a base circumference of about 25 units
a cone with a base circumference of about 50 units
a cylinder with a circumference of about 25 units
a cylinder with a circumference of about 50 units
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Option D.

Step-by-step explanation:

The perimeter of the square is calculated through the equation,

                                       4x = P

where P is the perimeter and x is the measure of the sides.

When P is 32 units then,

                                        32 units = 4(x)

                                                x = 8 inches

This 8 inches is the diameter of the cylinder formed by the rotation. 

The circumference of the base is calculated through,

                           C = 2πr = πD

Substituting the known values,

                             C = π(8 units) = 8π units

 When π is equal to 3.14, we solve for the numerical value of the cylinder as follows,

                                     C = 8(3.14) = 25.12 units

 Thus, the figure formed is a cylinder with base circumference equal to 25 units. The answer is the third choice. 

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