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Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?

User Schmidty
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1 Answer

5 votes

Answer:


(x+4)^2 + (y-9)^2 = 25

Explanation:

To write the equation of a circle, use the formula
(x-h)^2+(y-k)^2 = r^2 where the center of the circle is (h, k).

This means the equation is
(x--4)^2 + (y-9)^2 = r^2\\\(x+4)^2 + (y-9)^2 = r^2.

Find the radius r by dividing the diameter of 10 in 2. The radius is 5.

So the equation of the circle is
(x+4)^2 + (y-9)^2 = 25

User Bentobox
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