Find the radius of a circle with the equation: x2 + y2 – 18x – 14y + 120 = 0
\(x^2+y^2-18x-14y+120=0\)
Converting to standard circle equation:
\(\left(x−a\right)^2+\left(y−b\right)^2=r^2\)
\(\left(x-9\right)^2+\left(y-7\right)^2=\left(\sqrt{10}\right)^2\)
\(center: (9, 7)\)
\(radius: \sqrt{10}\)
-Vinculum
bruh, your just copying from another question
They are all the same because they all use a similar method:
It is the quickest way to solve it!!!
I hope you have a great day!
We can write
x^2 -18x + y^2 -14y = -120 complete the square on x and y
x^2 -18x + 81 + y^2 -14y + 49 = -120 + 81 + 49 factor and simplify
(x - 9)^2 + ( y -7)^2 = 10
Center = (9, 7)
Radius = sqrt (10)
