Suppose AB is the diameter of a circle, where A = (-1,-3) and B = (3,-2). The equation of the circle is?
4(x-1)^2 +4(y+5/2)^2 =17
I will give you the steps. I will not do your homework for you.
1)Find the midpoint between . Use the midpoint formula (see below).
2)The answer to #1 is the center of circle.
3)Find the length between . Use the distance formula (see below).
4)The answer to #4 is diamter length, find half of it.
5)You know the center of circle and its radius. You can now describe its equation.
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Midpoint formula:
Distance formula: