Answered

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Write the equation of a circle whose center is (-2, 0) and has the point (-5,-6) on its circumference.

Sagot :

grifjin

Answer:

(x+2)^2 + y = √45 ^2

Step-by-step explanation:

this should be right

Answer:

[tex](x + 2)^{2} + y^{2} = 45[/tex]

Step-by-step explanation:

The radius (r) of the circle is the distance between (-2, 0) and (-5, -6)

r = [tex]\sqrt{(-2 + 5)^{2} + (0 + 6)^{2} } = \sqrt{3^{2} + 6^{2} } = \sqrt{9 + 36} = \sqrt{45}[/tex]

[tex]r^{2}[/tex] = 45

[tex](x + 2)^{2} + y^{2} = 45[/tex] is the equation of the circle

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