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GRE
GRE Quantitative Reasoning Section

Identifying Points Relative to a Circle

Easy Geometry Circles

A circle is centered at the point (2, 3) and has a radius of 4 units. Which of the following points lies outside the circle?

Recall that the equation of a circle in the coordinate plane can be expressed as:

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

where (h, k) is the center of the circle, and r is the radius. Calculate the distances from the center to determine if the points lie inside, on, or outside the circle.

Hint

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