SOLUTION: A circle has a diameter with endpoints (3, -2) and (9, -8). What is the equation of the circle?
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Question 883596
:
A circle has a diameter with endpoints (3, -2) and (9, -8).
What is the equation of the circle?
Answer by
jim_thompson5910(35256)
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Hints:
1) Find the center of the circle. This is the
midpoint
of the line segment that has the endpoints (3, -2) and (9, -8).
2) Find the
distance
between the two points. This distance is the diameter. Cut the diameter in half to get the radius.
3) The general equation of any circle is
where (h,k) is the center and
is the radius.