What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250?

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asked Oct 16, 2017 227k views

1 Answer

Eren · Answer 1 · 2017-10-20T20:34:27+0000

x2 + y2 - 14x + 10y = 250
x2 -14x + 49 - 49 + y2 + 10x + 25 - 25 = 250
(x - 7)^2 - 49 + (y+5)^2 - 25 = 250
(x-7)^2 + (y+5)^2 = 250 + 49 + 25
(x-7)^2 + (y+5)^2 = 324

Therefore the radius, r
r = 324^0.5
r = 18

What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250?

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