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 [tex]\frac{1}{2}[/tex]
Radius after dilation = [tex]4 \times\frac{1}{2}= 2[/tex]
Circumference of circle is [tex]C=2\pi r[/tex]
Put radius = 2 in. and [tex]\pi =3.14[/tex]
[tex]C=2\pi r[/tex]
[tex]C=2\times 3.14\times2[/tex]
[tex]C= 12.56[/tex]
Therefore, The circumference after dilation is 12.56 in.
