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____ [38]
1 year ago
15

Please find the equation of the circle (ignore what is entered).

Mathematics
1 answer:
hram777 [196]1 year ago
4 0

The general standard equation for a circle with radius r centered at (h, k) is:

(x-h)^2+(y-k)^2=r^2

In this problem, since the circle is centered at the origin, the point (h, k) is (0, 0). So, substituting it:

\begin{gathered} (x-0)^2+(y-0)^2=r^2 \\ or \\ x^2+y^2=r^2 \end{gathered}

Now, it is only necessary to find the radius. It is given in the picture (x-axis) and it has a value of 8.

So, the equation is:

\begin{gathered} (x-0)^2+(y-0)^2=8^2 \\ or\text{ } \\ (x)^2+(y)^2=8^2 \end{gathered}

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