Question 866673: Write the equation of the circle with diameter DE.
D(18,16)
E(-6,-2)
answer:______________________________
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! Use Midpoint Formula to find the center point for the circle.
Use the Distance Formula to find the given diameter's length, and then cut it in half to have the radius for the circle.
Fill in the standard form,  in which the center is (h,k) and the radius is r, which may be  .
That is the description of the process, but is not the actual shown steps.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
Write the equation of the circle with diameter DE.
D(18,16)
E(-6,-2)
answer:______________________________
STEP 1:
Determine the midpoint using the midpoint formula, and points D(18, 16) and E(- 6, - 2). The coordinates of the
midpoint are also the coordinates of the center of the circle (h, k).
STEP 2:
Determine the radius by substituting one of the two points (D or E), as well as the coordinates of the center of the
circle (h, k) into the circle formula:  .
STEP 3:
Substitute the coordinates of the center of the circle (h, k) and the radius, squared ( ), into the circle formula:
to determine the equation of the circle.
Then do a check!!
If you need a complete and detailed solution, let me know!!
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Further help is available, online or in-person, for a fee, obviously.
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