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Find the center and radius of the circle whos equation is (x+5)^2+(y-3)^2=9

User Lohardt
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1 Answer

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Answer:

center (-5, 3)

radius 3

Explanation:

Compare the given equation to the standard form equation of a circle:

(x -h)² +(y -k)² = r² . . . . . . circle with center (h, k) and radius r

This shows us that ...

-h = +5 ⇒ h = -5

-k = -3 ⇒ k = 3

r² = 9 ⇒ r = √9 = 3

Then the circle center is (h, k) = (-5, 3), and the radius is r = 3.

User Manre
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