Problema Solution
Find the standard form for the equation of a circle
(x-h)sqrd + (y-k)sqrd = r sqrd
with a diameter that has endpoints (-4,5) and (1,6).
h= ________
k= ________
r= ________
(SUBMITTED PREVIOUSLY BUT RECEIVED WRONG ANSWER.
Answer provided by our tutors
A:
The center of the circle is the midpoint of the line segment making the diameter AB. The midpoint formula is used to find the coordinates of the center C of the circle.
x coordinate of C = (-4+ 1) /2 = -1.5
y coordinate of C = (5 + 6) / 2 = 5.5
he radius is half the distance between A and B.
r = (1/2) ([1+4]2 + [6-5]2 )1/2
r= 2.54
h=-2.5
k=5.5