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In the diagram below, chords $\overline{AB}$ and $\overline{CD}$ are perpendicular, and meet at $X.$ Find the diameter of the circle.

 

 Mar 9, 2024
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The diameter is 4. 

Any perpendicular lines, assuming that they connect to both ends of a cricle, will meet at the center, which is X in this case. Now that we know X is the center of the circle and that 2 is from D to X, we can conclude that the radius is 2. Therefore, the diameter is 4.

 Mar 10, 2024

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