1.The equation of a circle in general form is x2 + y2 – 6x + 4y – 86 = 0 What is the center and radius of the circle?

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21-05-2018
Mathematics

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1.The equation of a circle in general form is x2 + y2 – 6x + 4y – 86 = 0 What is the center and radius of the circle?

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tramserran tramserran · Answer 1 · 2018-05-22T10:15:56+02:00

tramserran tramserran

22-05-2018

x² - 6x + y² + 4y = 86

Complete the square:
x² - 6x + (9) + y²+4y + (4) = 86 + (9) + (4)
→(x - 3)² + (y + 2)² = 99

Center: (3, -2)
radius: √99 = 3√11

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