The radius of the original circle can be found using the relationship between the radii of similar figures, which is that they are proportional to the scale factor.
So, if the scale factor is 34 and the dilated circle has a radius of 9 inches, then the radius of the original circle can be found by dividing the radius of the dilated circle by the scale factor:
Radius of the original circle = Radius of the dilated circle ÷ scale factor
Radius of the original circle = 9 inches ÷ 34
Radius of the original circle = 0.2647 inches (rounded to four decimal places)
Therefore, the radius of the original circle is approximately 0.2647 inches when a scale factor of 34 is used to create a dilated circle with a radius of 9 inches.
You use scale factor of 34 to create a dilated circle with a radius of 9 inches. What is the radius of the original circle?
1 answer