Question

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?

Answer 1

If a circle with radius r is dilated by a scale factor of k, the radius of the dilated circle is given by k times the radius of the original circle. Therefore, if you use a scale factor of 15 to create a circle with radius 18 cm, the radius of the original circle you dilated is:

r = (radius of dilated circle) / (scale factor)

r = 18 cm / 15

r = 1.2 cm

Therefore, the radius of the original circle you dilated is 1.2 cm.

Answer 2

The radius of the original circle is 1.2 cm.