Question

The square shown has a perimeter of 32 units. The square is rotated about line k. what is the circumfrence of the base

Answer 1

The circumference equal to 25 units

What is perimeter of square?

The perimeter of square is 4 times the side.

P= 4* side

The perimeter of the square,

4x = P

Now P is =  32 units then,

32 units = 4(x)

x = 8 inches

So,  the diameter of the cylinder formed by the rotation of 8 inches  

Now, the circumference of the base is

C = 2πr = πD

If r =8  inches

                           

C = π(8 units) = 8π units

C = 8(3.14) = 25.12 units

Hence, the circumference equal to 25 units

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