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Find the distance between the points $(0,-8)$ and $(2,-5).$

 

A circle centered at $(0,-8)$ passes through the point $(2,-5).$ Find the equation of the circle. Write your equation in the form "$(x - h)^2 + (y - k)^2 = r^2$".

 Feb 7, 2021
 #1
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The distance between the two points given is the radius of the circle

 

(0-2)^2 + (-8- - 5)^2 = d^2     d = sqrt(13)    (this is the radius of the circle)

 

circle equation     (x-0)^2 + (y+8)^2 = sqrt(13)^2

                               x^2 + (y+8)^2 = 13

 Feb 7, 2021
 #2
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great job guest

qwertyytrewq  Feb 7, 2021

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