Circle Equations Review

What is the equation of the circle graphed below?

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A circle has its center at (−2, 3) and point (4, 6) is on its circumference. What is the correct written equation of the circle?

In the xy-coordinate plane shown, points B, E, G, and I are on the circle with center H.

What is the equation of the circle with center H?

A circle is graphed on this coordinate plane.

Which of the following equations represents the circle?

Which is the equation of a circle that passes through (2, 2) and is centered at (5, 6)?

Which is the equation of a circle that has a diameter with endpoints (1, 3) and (−3, 1)?