Solution
- The question gives us two circles, one bigger than the other. We are asked to find the scale factor (k) given that the larger circle is the original circle and the smaller circle is its reduced image.
- Generally, for any shape's image to be smaller than its original shape, we know that a reduction has taken place.
- This means that the dimensions of the smaller image have been multiplied by a value less than 1.
- Since this multiplier is known as the Scale Factor (k), we can simply conclude that
Final Answer
The answer is k < 1.