Final answer:
To find the dilated radius of circle A with an original radius of 20 cm, multiply by the dilation factor of 8.7. The calculated radius is 174 cm, which is then rounded to two significant figures, giving 170 cm as the final answer.
Step-by-step explanation:
When a circle is dilated by a factor, its radius is increased by that same factor. To find the radius of circle A after it has been dilated by a factor of 8.7, we simply multiply the original radius by the dilation factor. Since circle A has an original radius of 20 cm, we calculate the new radius as follows:
- Multiply the original radius of the circle by the dilation factor: 20 cm × 8.7.
- Using a calculator that provides an eight-digit output, we get 174.
- However, since the original radius has only two significant figures, we should limit the dilated radius to two significant figures as well: 170 cm.
Therefore, the radius of circle A dilated by a factor of 8.7 is 170 cm.