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algebra 1

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In the standard (x,y)cooridniate plane the graph of (x-2)second power +(y+4 second power =9 is a circle. What is the area enclosed by this circle, expressed in sguare coordinate units?

please help me?

  • algebra 1 -

    recall that the equation of a circle is given by
    (x-h)^2 + (y-k)^2 = r^2
    h = x-coordinate of center of circle
    k = y-coordinate of center of circle
    r = radius
    thus from the given equation,
    (x-2)^2 + (y+4)^2 = 9
    the radius is sqrt(9) = 3
    also, recall that area of circle is given by
    A = pi*r^2
    A = pi*(3)^2
    A = 3.14*9
    A = 28.26 square units

    hope this helps~ :)

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