math

In the standard (x,y) coordinate plane, the graph of (x + 3)2 + (y + 5)2 = 16 is a circle. What is the circumference of the circle, expressed in coordinate units?

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  1. The given equation follows the general equation for circles, which is
    (x - a)^2 + (y - b)^2 = r^2
    where
    (a,b) = the point where the center of the circle lies
    r = radius
    From the equation,
    (x + 3)^2 + (y + 5)^2 = 16
    r^2 = 16
    r = 4 units
    Recall that the circumference of a circle is given by
    C = 2*pi*r
    Substituting,
    C = 2*3.14*2
    C = 25.12 units

    hope it helps~ :)

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