Questions on Geometry: Circles and their properties answered by real tutors!

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Question 144164This question is from textbook Geometry; for enjoyment and challenge
: Find the equation of a circle with center (2,4) that passes through (1,7). This question is from textbook Geometry; for enjoyment and challenge
: Find the equation of a circle with center (2,4) that passes through (1,7).
Answer by stanbon(19020) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of a circle with center (2,4) that passes through (1,7).
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The radius is the distance from the center to (1,7).
d = sqrt[(7-4)^2 + (1-2)^2]
d = sqrt[9 + 1]
d = sqrt(10)
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EQUATION:
Form: (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-2)^2 + (y-4)^2 = 10
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Cheers,
Stan H.