SOLUTION: Find the equation of a circle that has a diameter with the endpoints given by the points A (-5,4) and (7,9)

Question 1174553: Find the equation of a circle that has a diameter with the endpoints given by the points A (-5,4) and (7,9)
Found 3 solutions by ewatrrr, MathLover1, ikleyn:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi the equation of a circle that has a diameter with the endpoints (-5,4) D = = 13 C(1,6.5 ) P(2/2, 13/2) (7,9) Circle: (x-1)^2 + (y-6.5)^2 = 6.5^2 Wish You the Best in your Studies.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Find the equation of a circle that has a diameter with the endpoints given by the points A (,) and (,)
the length of a diameter is equal to distance between given points:

Solved by pluggable solver: Distance Between 2 points

The distance formula is . Plug in the numbers,

The distance is 13.

=> radius is
the center of a circle is half way between given points
C (,)
C (,) => and
the equation of a circle is:

Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.

From two ladies, you have the same equation for the circle, but two different plots.

Now you need to guess which one of the two plots is correct . . . (if any) . . .

I will help you (!)

        The plot which is tangent to x- axis is correct.

                The other plot is INCORRECT.

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