If circle X

Question

is constructed so that it has a circumference of 120 centimeters, and is dilated to create circle X′
with a circumference of 90 centimeters, then what is the scale factor? Enter any non-whole number as a fraction.

Answer 1

The scale factor can be found by dividing the circumference of the dilated circle X' by the circumference of the original circle X:

Scale factor = Circumference of X' / Circumference of X
Scale factor = 90 cm / 120 cm
Scale factor = 3/4

Therefore, the scale factor is 3/4.