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GRE
GRE Quantitative Reasoning Section

Distance from Circle Center to Chord Calculation

Medium Geometry Circles

In a circle with a radius of 12 units, a chord is drawn that is 15 units long. Calculate the distance from the center of the circle to the chord.

To find the distance from the center of the circle to the chord, you can use the formula:

$$ d = \sqrt{r^2 - \left(\f\frac{c}{2}\right)^2} $$

where $d$ is the distance from the center to the chord, $r$ is the radius, and $c$ is the length of the chord.

Hint

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