SOLUTION: Determine the center and the radius of the circle x^2+(y+5)^2=17
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Question 312210: Determine the center and the radius of the circle x^2+(y+5)^2=17
Found 2 solutions by solver91311, nyc_function:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
A circle centered at )
with radius 
is described by the equation:
^2\ +\ \left(y\ -\ k\right)^2\ =\ r^2)
Re-write your equation:
^2\ +\ \left(y\ -\ (-5)\right)^2\ =\ \left(\sqrt{17}\right)^2)
And you can determine your center and radius by inspection.
John
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
The general formula for a circle not center at the origin is
(x - h)^2 + (y - k)^2 = r^2
You were given x^2 +(y+5)^2 = 17.
The center is (h,k). From your equation, I can see that h = 0 and k = -5.
The center is (0,-5).
The radius = r in the general formula for a circle.
r^2 = 17
r = sqrt{17}.
The center is the point (0,-5) and the radius is the square root of 17 written
sqrt{17}.
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