Standard Form of a Circle's Equation

Medium Geometry Circles

In the coordinate plane, a circle is defined by the equation:

$$ (x - h)^2 + (y - k)^2 = r^2 $$

where $ (h, k) $ is the center of the circle, and $ r $ is the radius. If a circle has its center at the point $ (3, -2) $ and a radius of $ 5 $, what is the equation of the circle in the standard form?

$$ (x - 3)^2 + (y + 2)^2 = 25 $$

$$ (x + 3)^2 + (y - 2)^2 = 25 $$

$$ (x - 3)^2 + (y - 2)^2 = 25 $$

$$ (x + 3)^2 + (y + 2)^2 = 25 $$

Hint

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