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Answer :
Answer:
Diameter=12 inches
Step-by-step explanation:
Given:
x^{2}+y^{2}-2x-4y-31=0
Using completing the square
x^2 - 2x + 1 + y^2 - 4y + 4 = 31+1+4
(x-1)^2 + (y-2)^2 = 36
Rewrite in the form
(x-h)^2+(y-k)^2=r^2
We have,
(x-1)^2+(y-2)^2=6^2
radius = 6
Diameter =radius ×2
=6 × 2
diameter = 12 inches
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