Respuesta :
Answer:
center = (-2, 3)
radius = 2
Step-by-step explanation:
(x+2)^2 + (y-3)^2 = 4
Use the formula: (x - h)^2 + (y - k)^2 = r^2
where (h, k) = center, radius = r
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(x - (-2))^2 + (y - 3)^2 = 4 = (2)^2
center = (-2, 3)
radius = 2
From the equation of a circle, we want to get the radius of the same circle.
We will see that the radius is equal to 2.
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First, let's describe the general equation of a circle.
For a circle of radius R centered in the point (h, k) the equation is:
(x - h)^2 + (y - k)^2 = R^2
Here, we got the equation:
(x+2)^2 + (y-3)^2 = 4
We can rewrite it to:
(x- (-2))^2 + (y-3)^2 = 2^2
Then we can see that this is a circle of radius equal to 2 centered at (-2, 3), the graph of the circle can be seen below.
Concluding the radius of the circle is equal to 2.
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