Question 600231: I am trying to write a general conic form equation of a circle usng this information given in the problem:
Ends of diameter: (2,0) and (-18,8)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! I am trying to write a general conic form equation of a circle usng this information given in the problem:
Ends of diameter: (2,0) and (-18,8)
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The procedure used to solve this problem: Find coordinates of midpoint of diameter which are the coordinates of the center. Then use coordinates of one of the given points to find the radius.
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Standard form of equation for a circle: (x-h)+(y-k)^2=r^2, (h,k)=(x,y) coordinates of center, r=radius
midpoint of diameter:
(-18+2)/2, (8+2)/2=-16/2,8/2=(-8,4)
center: (-8,4)
plug in coordinates of center (-8,4) and given point (2,0), and solve for r.
(2+8)^2+(0-4)^2=r^2
(10)^2+(-4)^2=r^2
100+16=r^2
r^2=116
r≈√116≈10.77
Equation of given circle:
(x+8)^2+(y-4)^2=116
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