Open Middle®
Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a circle and a point on the circle with the point being as close to the origin as possible.
Hint
How can you use the values being subtracted from x and y to adjust where the circle is?
Answer
There are many potential answers but all will come from a circle with a radius of 5 units. The closest point to the origin found so far is 2 units away. Here’s one example:
(x – -5)^2 + (y – -4)^2 = 5^2
Point on circle: (-2, 0)
(x – -5)^2 + (y – -4)^2 = 5^2
Point on circle: (-2, 0)
Source: Robert Kaplinsky
I found a solution closer with (0,1) as the point, where the equation is (x – 4)^2 + (y – -2)^2 = 5^2.