Question

If the radius of circle A
is 14 feet and the radius of circle B
is 172 feet, then what is the scale factor from A:B
? Round to the nearest whole number.(1 point)
Responses

1:12
ratio of 1 to 12

540:44
ratio of 540 to 44

12:1
ratio of 12 to 1

1,081:88

Answer 1

To find the scale factor of circles A and B, we can use the formula for the ratio of the radii of the two circles:

\[
\text{Scale Factor} = \frac{\text{Radius of Circle B}}{\text{Radius of Circle A}} = \frac{172}{14}
\]

Now, let's simplify this fraction:

\[
\frac{172}{14} = \frac{86}{7} \approx 12.2857
\]

Next, rounding this to the nearest whole number gives us approximately 12.

Thus, the scale factor of circles A to B, when expressed in the form A:B is:

\[
1:12
\]

So, the correct answer is:

**1:12** (ratio of 1 to 12).