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WINSTONCH [101]
3 years ago
13

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

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Answer:

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

Step-by-step 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

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