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# look at image and help?

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see image
What is the equation of this circle in general form?  answer choices below image

x2+y2−6x+4=0
x2+y2−6x−16=0
x2+y2+6x−16=0
x² + y² + 6x + 4 = 0

CrazyDaizy  Jun 6, 2017

#1
+7324
+1

From looking at the graph, we can see that

the center of this circle is the point   (3, 0)      and

the radius of this circle is   5   units.

So, the equation of this circle in standard form is:

(x - 3)2 + (y - 0)2  =  52          Simplified, this is....

(x - 3)2 + y2  =  25

To get this equation in general form, first multiply out the (x - 3).

(x - 3)(x - 3) + y2  =  25

x2 - 3x - 3x + 9 + y2  =  25             Subtract 25 from both sides of the equation.

x2 - 3x - 3x + 9 + y2 - 25  =  0        Combine like terms and rearrange.

x2 + y2 - 6x - 16  =  0

hectictar  Jun 6, 2017
#1
+7324
+1

From looking at the graph, we can see that

the center of this circle is the point   (3, 0)      and

the radius of this circle is   5   units.

So, the equation of this circle in standard form is:

(x - 3)2 + (y - 0)2  =  52          Simplified, this is....

(x - 3)2 + y2  =  25

To get this equation in general form, first multiply out the (x - 3).

(x - 3)(x - 3) + y2  =  25

x2 - 3x - 3x + 9 + y2  =  25             Subtract 25 from both sides of the equation.

x2 - 3x - 3x + 9 + y2 - 25  =  0        Combine like terms and rearrange.

x2 + y2 - 6x - 16  =  0

hectictar  Jun 6, 2017