# circle

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two parallel chords of length 30 cm and 16 cm are draw on the opposite sides of center of a circle of radius 17 cm find the distance between the chord

• circle -

The chord that is 30 cm long is 8 cm above center. You should be able to see why by noting the 8-15-17 right triangle formed by circle center, 16 cm chord endpoint and a perpendicular from chord endpoint to the circle diameter. There is another 8-15-17 triangle, 15 below the circle center.

The separation between parallel chords is
15 + 8 = 23 cm.

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