SOLUTION: a chord is 7 cent. from center of circle whose radius is 9 cent in lenght. find the length of chord in radical form and to the nearest tenth of a centimeter

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Question 190347: a chord is 7 cent. from center of circle whose radius is 9 cent in lenght. find the length of chord in radical form and to the nearest tenth of a centimeter

Answer by solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!

The length of a chord given the perpendicular distance of the chord from the center of the circle, d, and the radius of the circle, r, is given by:



Which is a simple application of Pythagoras' Theorem - see illustration:


drawing%28%0D%0A500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A%0D%0Acircle%280%2C0%2C9%29%2C%0D%0Ablue%28line%280%2C0%2C0%2C7%29%29%2C%0D%0Ablue%28line%28.02%2C0%2C.02%2C7%29%29%2C%0D%0Ablue%28line%28-.02%2C0%2C-.02%2C7%29%29%2C%0D%0Ablue%28line%280%2C0%2C5.6585%2C7%29%29%2C%0D%0Agreen%28line%28-5.6585%2C7%2C5.6585%2C7%29%29%2C%0D%0Alocate%283%2C2.5%2Cr=9%29%2C%0D%0Alocate%280.5%2C5%2Cd=7%29%2C%0D%0Alocate%282.5%2C8.5%2Chalf_chord=+sqrt%28r%5E2-d%5E2%29%29%0D%0A%29

So,



You can do your own arithmetic.

John