Mathematics, 22.04.2020 04:04 natnerd4671
If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find the midpoint of the diameter, which is the center of the circle. Then find the radius, which is the distance from the center to either endpoint of the diameter. Finally use the center-radius form to find the equation.
Answers: 1
. ![\sqrt[]{(a-c)^2+(b-d)^2}](/tpl/images/0617/5565/c26e0.png)
. So, let us use (1,4) to calculate the radius.![r = \sqrt[]{(1-(-3))^2+(4-5)^2} = \sqrt[]{17}](/tpl/images/0617/5565/0c3cb.png)
. 
. The equation of a circle centered at the point 
and ![r=\sqrt[]{17}](/tpl/images/0617/5565/b1f45.png)
. Then, the equation is 
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If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle...
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