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# simple geometry question?

A chord of a circle measures 18 meters. A smaller circle concentric with the first is drawn such that it divides the given chord into three equal pieces. The radius of the larger circle is longer than that of the smaller one by 4 meters. What is the radius of the smaller circle?

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- King LeoLv 74 weeks agoFavorite Answer
They share a common height, h, from the chord to the center

h² = r² - 3²

h² = ( r + 4 )² - 9²

( r + 4 )² - 9² = r² - 3²

r² + 8r - 65 = r² - 9

8r = 56

r = 7

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