Derive equation of circle center at origin
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An equation of the circle with center (h,k) and radius r is
(x-h)^2 + (y-k)^2 = r^2.
So, if the center is (0,0) and the radius is r, an equation of the circle is: (x-0)^2 + (y-0)^2 = r^2.
Simplifying, we get: x^2 + y^2 = r^2
(x-h)^2 + (y-k)^2 = r^2.
So, if the center is (0,0) and the radius is r, an equation of the circle is: (x-0)^2 + (y-0)^2 = r^2.
Simplifying, we get: x^2 + y^2 = r^2
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