A circle is drawn with center at origin, O, and radius $6$ cm. Find the coordinates of all intersections of the circle with an origin centered square of side length $10$ cm whose sides are parallel to the coordinate axes as illustrated in Figure 1.
I have tried this question by setting the formula for this circle $(x^2+y^2=6)$ into the lines $y=5$ and $x=5$, since the length of each side of the square is $10$cm and it is symmetrical about the origin and therefore, each side is an equal distance from the origin which is half the length of each side. However, I got imaginary numbers.
