How do you solve a problem that says:

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To solve for the standard form of the equation of a circle given the endpoints of a diameter at (0,0) and (6,8), first determine the center by averaging the coordinates, resulting in (3,4). The radius is calculated as the distance from the center to one of the endpoints, which is 5. The standard form of the circle's equation is then (x-3)² + (y-4)² = 25, where (h,k) represents the center and r is the radius. Understanding the variables h, k, and r is crucial for correctly applying the standard form. This method effectively leads to the correct equation for the circle.
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Endpoints of a diameter : (0,0), (6,8)
?
It says write the standard form of the equation of the specified circle.
Anyone know how to solve this?
 
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Hint: Start by finding the coordinates of the center of the circle. If you don't know the standard form for the equation of a circle, you'll have to look it up.
 
Doc Al said:
Hint: Start by finding the coordinates of the center of the circle. If you don't know the standard form for the equation of a circle, you'll have to look it up.

If you mean (x-h)^2+(y-k)^2=r^2
i know it i just don't understand how i would get
(x-3)^2 + (y-4)^2=25 that's what the back of my book tells me i just don't see how they get to it..
 
That's the right general equation; Look up what h, k, and r stand for.
 
Doc Al said:
That's the right general equation; Look up what h, k, and r stand for.

H,K is X,Y
R is Radius
 
j0nath0n3 said:
H,K is X,Y
X, Y of what?
 

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