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Find distance between intersections of circle and line?
02-08-2019, 04:47 PM
Post: #11
RE: Find distance between intersections of circle and line?
(02-08-2019 12:45 PM)Albert Chan Wrote:  Distance from point (x0, y0) to line Ax + By + C = 0 is abs(Ax0 + By0 + C)/√(A² + B²)

-> Distance from circle center (-1,0) to y=2x+3 is abs(-2 + 0 + 3)/√5 = 1/√5

-> Distance between intersecting points = 2 * √(55 - 1/5) = 2 √(274/5) ~ 14.8

That's an elegant way to do it!

— Ian Abbott
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RE: Find distance between intersections of circle and line? - ijabbott - 02-08-2019 04:47 PM



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