Given a circle with center (– 3, 6) and radius 5, what is an equation of the circle?

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asked May 16, 2024 175k views

1 vote

Given a circle with center (– 3, 6) and radius 5, what is an equation of the circle?

Mathematics
high-school

Kale Kundert asked

by Kale Kundert

7.6k points

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1 Answer

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$\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-3}{h}~~,~~\underset{6}{k})}\qquad \stackrel{radius}{\underset{5}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-3) ~~ )^2 ~~ + ~~ ( ~~ y-6 ~~ )^2~~ = ~~5^2\implies (x+3)^2+(y-6)=25$