Directions: Using the digits 1 to 9 at most two times each, place a digit in each box to make two circles: one with an area of less than 10 units^{2} and one with more than 10 units^{2}.

### Hint

How do we ensure that the digits we choose create a circle? How do the digits we choose affect the size of our circle?

### Answer

There are many possible answers but all must have the coefficients of x and y equal to the same value. One example is:

2x

2x

^{2}+ 2y^{2}= 9 for an area of ~14.13 units^{2}and 5x^{2}+ 5y^{2}= 4 for an area of ~14.13 units^{2}Source: Robert Kaplinsky