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A and B are two points on a circle with center O, and C lies outside the circle, on ray AB. Given AB = 24, BC = 30, and OA = 16, find OC.

 Jan 1, 2021
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A and B are two points on a circle with center O, and C lies outside the circle, on ray AB. Given AB = 24, BC = 30, and OA = 16, find OC.

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BC = 30       AC = 54         ED = 32          EC = 32 + DC

 

BC * AC = DC * EC

 

30 * 54 = DC (DC + 32)         DC = 2(√469 - 8) = 27.31281566

 

OC = OD + DC        OC ≈ 43 5/16

 Jan 2, 2021
edited by jugoslav  Jan 2, 2021

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