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Write the equation of a circle

Write the equation of a circle-example-1

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Answer:


\large\boxed{(x-9)^2+(y+5)^2=4}

Explanation:

The standard form of an equation of a circle:


(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the center (9, -5) and the radius r = 2. Substitute:


(x-9)^2+(y-(-5))^2=2^2\\\\(x-9)^2+(y+5)^2=4

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