Equation of a Circle 1

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 units2 and one with more than 10 units2.


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


There are many possible answers but all must have the coefficients of x and y equal to the same value. One example is:
2x2 + 2y2 = 9 for an area of ~14.13 units2 and 5x2 + 5y2 = 4 for an area of ~14.13 units2

Source: Robert Kaplinsky

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