AMC / AIME · Coordinate Geometry · Medium

Coordinate Geometry: A circle centered at math passes through math. Find its radius.

Place figures on axes.

Try the problem

A circle centered at (2,−1)(2,-1) passes through (5,3)(5,3). Find its radius.

Hint and answer

Concept to use

Circles/lines.

Hint

Translate the geometry into coordinates before simplifying.

Answer

5

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