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SSAT Middle Level
Quantitative (Math)

Finding the Length of a Chord in a Circle

Very Hard Geometry And Measurement Circles

Consider a circle with a radius of 6 cm. A chord of the circle is drawn, and it is known that the perpendicular distance from the center of the circle to the chord measures 4 cm. Calculate the length of the chord.

To solve this problem, use the relationship between the radius, the distance from the center to the chord, and the length of the chord. Remember that the radius, the distance from the center to the chord, and half the length of the chord form a right triangle.

Hint

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