Verified Answer :

Radius after dilation = 4 1/2 = 2 in

Now, C = 2πr
C = 2π(2)
C = 4π
Or C = 4 3.14 = 12.56

In short, Your Answer would be 4π or 12.56 in

Hope this helps!

Answer:

The circumference after dilation is 12.56 in.

Step-by-step explanation:

Given : A circle with a radius of 4 in. is dilated by a scale factor of 1/2.

To find : What will be the circumference of the circle after dilation?

Solution :

Radius is 4 in.

Radius is dilated by scale factor \(\frac{1}{2}\)

Radius after dilation = \(4 \times\frac{1}{2}= 2\)

Circumference of circle is \(C=2\pi r\)

Put radius = 2 in. and \(\pi =3.14\)

\(C=2\pi r\)

\(C=2\times 3.14\times2\)

\(C= 12.56\)

Therefore, The circumference after dilation is 12.56 in.

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