Hi,

Write the equation of a circle that has the center on the x-axis, 

a radius of 1, and passes through the point 

(,)

  (x,0)

 D =  = 1  ,  -x  =±  , x = 

  







 

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
 Write the equation of a circle that has the center on the x-axis, a radius of 1, and passes through the point (((square root of 2)/2),((square root of 2)/2)).

**

Equation of a circle: , (h,k)=(x,y) coordinates of center, r=radius

For given circle:

r^2=1

r=1

k==0

equation:

(x-h)^2+y^2=1

solve for h using coordinates of given point (√2/2, √2/2)

(√2/2-h)^2+(√2/2)^2=1

2/4-√2h+h^2+2/4=1

h^2-√2h+1=1

h^2-√2h=0

h(h-√2)=0

h=0 (reject, does not check)

h=√2

Equation: (x-√2)^2+y^2=1 

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