What-is-shortest-distance-from-A-3-8-to-the-circle-x-2-y-2-4x-6y-12-

Question Number 136284 by liberty last updated on 20/Mar/21

W h a t i s s h o r t e s t d i s t a n c e

f r o m A (3, 8) t o t h e c i r c l e

x^{2} + y^{2} + 4 x - 6 y = 12

Answered by EDWIN88 last updated on 20/Mar/21

Center point the circle is (- 2, 3)

distance from A to center point is \sqrt{5^{2} + 5^{2}} = 5 \sqrt{2}

radius of circle r = \sqrt{4 + 9 + 12} = 5

so the shortest distance from A to the circle

is 5 \sqrt{2} - 5

Commented by EDWIN88 last updated on 20/Mar/21

Commented by greg_ed last updated on 20/Mar/21

obviously!

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