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SSAT Upper Level
Quantitative (Math)

Distance from Center to Chord in a Circle

Hard Geometry And Measurement Circles

A circle has a radius of 7 cm. A chord in the circle is 8 cm long. Calculate the distance from the center of the circle to the chord.

Use the following relation: If a chord of a circle is of length $c$, and the radius of the circle is $r$, the distance $d$ from the center of the circle to the chord can be calculated using the formula:

$$ d = ext{sqrt}(r^2 -\frac{c^2}{4}) $$

Hint

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