How will the circumference of the circle change if it is dilated by a scale factor of 4? 16cm the circumference will be 4 times greater than the original. the circumference will be 16 times greater than the original. the circumference will be 1/4 the original. the circumference will be 1/16 the original.

The circumference of a circle has the formula:

C = 2 π r

Now when it is dilated by a factor of 4, this only means that the radius is also multiplied by a factor of 4, therefore the new circumference is:

C’ = 2 π (4 r)

C’ = 8 π r

So it also grows 4 times.

The circumference will be 4 times greater than the original.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.