If you use a scale factor of 15 to create a circle with radius 18 cm, what is the radius of the original circle you dilated?(1 point)
Responses
90 cm
180 cm
9 m
3.6 cm
The correct answer is 3.6 cm.
To find the radius of the original circle, we can use the formula for dilation:
new radius = scale factor x original radius
Given a scale factor of 15 and a new radius of 18 cm, we can calculate the original radius as:
original radius = new radius / scale factor
original radius = 18 cm / 15
original radius = 1.2 cm
Therefore, the radius of the original circle is 1.2 cm.