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Question 291719: Write the equation of the circle containing the points J(-3, -3), K(1, -3), and L(1, 1). Show all work to receive credit.
***can someone please work this out for me i have mutuple problems like this so if i see this one ill be able to do the others thank you sooooooo much!!!
also you can IM me at smilez750 at aim
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Write the equation of the circle containing the points J(-3, -3), K(1, -3), and L(1, 1). Show all work to receive credit.
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If you look at the points, or plot them, you'll see that they from a right triangle.
In the case of 3 points that make a right triangle, the hypotenuse is the diameter.
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d = distance from (-3,-3) to (1,1)
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The center of the circle is the midpoint of the same 2 points. Find it by getting the averages of x and y:
x: (-3 + 1)/2 = -1
y is the same
The center is (-1,-1) and the radius is given above.
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If the points don't make a right triangle, it's more tedious.
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