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GRE
GRE Quantitative Reasoning Section

Finding Coordinates on a Circle in Quadrant I

Medium Geometry Circles

In a coordinate plane, a circle is centered at the point (3, -2) with a radius of 4 units. If a point P lies on the circumference of this circle, what are the coordinates of point P that lies in the first quadrant?

To find if a point lies on the circle, it must satisfy the equation of the circle, which is given by:

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

where $(h, k)$ is the center of the circle and $r$ is the radius. For this circle, the equation becomes:

$$(x - 3)^2 + (y + 2)^2 = 16$$

Hint

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