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Geometry 13 Online
OpenStudy (anonymous):

@Nurali @ranga @helpme1.2 @AccessDenied @thadyoung

OpenStudy (anonymous):

OpenStudy (accessdenied):

You know that the standard form of a circle is: \( (x - h)^2 + (y - k)^2 = r^2 \) ? If so, what were your thoughts on a possible approach here?

OpenStudy (accessdenied):

The one thing we should be especially careful of here is that the graph is labelled in twos. So we will have to estimate that the half-way point is the odd integer between the two. E.g. going along the horizontal, it seems the center of the circle aligns between 2 and 4. We could estimate this to be the odd number between the two, 3.

OpenStudy (accessdenied):

The center of the equation I wrote is at (h, k). Where is the center for the circle on the graph?

OpenStudy (anonymous):

3

OpenStudy (accessdenied):

3 is the x-value. And the y-value? Center point: (3, _)

OpenStudy (anonymous):

2

OpenStudy (accessdenied):

Not quite; it is below the x-axis, so that has to be negative, right? so your center is at (3, -2). That part is clear?

OpenStudy (anonymous):

sorry, yes -2

OpenStudy (accessdenied):

Yup. Then the only other part we need for the equation is the radius. So we can use a point on the circle and the center to determine that, although you can see it is easy to count as well.

OpenStudy (anonymous):

i think B

OpenStudy (accessdenied):

Yup, that looks good! We place in the values of k=-2 and h=3 along with radius r=3. (x - 3)^2 + (y - -2)^2 = 3^2 (x-3)^2 + (y+2)^2 = 9 looks good! :)

OpenStudy (anonymous):

yayyyy!!! thank you!! :D

OpenStudy (accessdenied):

Glad to help! :)

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