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

1:12ratio of 1 to 12

44:540ratio of 44 to 540

88:1,081ratio of 88 to 1 comma 081

12:1

1 answer

To find the scale factor between circle A and circle B, we can use the formula for the scale factor, which is the ratio of the radii of the two circles.

The radius of circle A is 14 feet, and the radius of circle B is 172 feet.

The scale factor from circle A to circle B is calculated as follows:

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

Now, calculate this fraction:

\[ \frac{172}{14} \approx 12.2857 \]

Rounding to the nearest whole number gives us approximately 12.

Thus, the scale factor from circle A to circle B is 12:1.

The correct response is:

12:1