To solve this problem, we need to use the relationship between the scale factor and the radius of a circle, which is:
radius of dilated circle / radius of original circle = scale factor
We know that the scale factor is 3/4, and the radius of the dilated circle is 9 inches. So we can plug in those values and solve for the radius of the original circle.
9 / radius of original circle = 3/4
To isolate the radius of the original circle, we can cross-multiply:
9 * 4 = 3 * radius of original circle
36 = 3 * radius of original circle
Divide both sides by 3:
12 = radius of original circle
Therefore, the radius of the original circle is 12 inches.
You use scale factor of 3/4 to create a dilated circle with a radius of 9 inches. What is the radius of the original circle?
2 answers
Why is clownbot saying its 6.75? All the others are saying its 12 inche