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Help!! Can someone guide me how to find the answer? ?
1 Answer
- Daniel HLv 53 weeks ago
equation of a circle
(x - h)^2 + (y - k)^2 = r^2
what is h, k, r?
h is horizontal midpoint of endpoints
x2 >= x1
x1 + half the distance from x1 to x2
h = x1 + |x2 - x1|/2
h =-1+ |5 - -1|/2 = 2
h =-1+ 6/2
h = 2
k is vertical midpoint of endpoints
y2 >= y1
k = y1 + |y2 - y1|/2
k = -16 + |-16 - -10|/2
k = -16 + 6/2
k = -13
diameter is distance from one endpoint to the other
d = sqrt((x^2 - x1)^2 + (y2 - y1)^2)
d = sqrt((5 - - 1)^2 + (-10 - -16)^2)
d = sqrt(6^2 + 6^2)
d = sqrt(72)
d = 6sqrt(2)
r = d/2 = 3sqrt(2)
final answer
(x - 2)^2 + (y + 13)^2 = 18
