Circle - A circle is centered at (0,0) and has a radius of sqrt{53}. Where does the point V(-3,-7) lie?

Answer 1

The equation of this circle is

x² + y² = 53

Test to see if (-3,-7) is inside the circle.

(-3)² + (-7)² = 9 + 49 = 58 > 53 ⇒ (-3,-7) is outside the circle.