Question

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

What will be the circumference of the circle after dilation?

Answer 1

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 2

The circumference after dilation is 12.56 in.

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
`(1)/(2)`

Radius after dilation =
`4 *(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* 3.14*2`

`C= 12.56`

Therefore, The circumference after dilation is 12.56 in.