A circle is inscribed in a square whose vertices have coordinates R(0, 4), S(6, 2), T(4, -4), and U(-2, -2). Find the equation of the circle.

(x - 2)² + y² = 68
(x + 2)² + y² = 20
(x - 2)² + y² = 10

I can't seem to figure this one out!! Help?

Question

A circle is inscribed in a square whose vertices have coordinates R(0, 4), S(6, 2), T(4, -4), and U(-2, -2). Find the equation of the circle.


(x - 2)² + y² = 68
(x + 2)² + y² = 20
(x - 2)² + y² = 10

I can't seem to figure this one out!! Help?

jim_thompson5910 · Answer

Hint: find where the diagonals intersect. This will be the center of the circle.

To find the radius, find the distance from the center to any corner point of the square