The equation of a circle is given in standard form. Complete parts a through c to follow the step by step process to sketch the graph of the circle. $$ x^{2}+y^{2}=25 $$ a) Determine the center and radius of the circle. The center of the circle is (Type an ordered pair.)

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The center of the circle is (0, 0). The equation of the circle is given in standard form as: $$ x^{2} + y^{2} = 25 $$ a) To determine the center and radius of the circle, we can compare this equation to the standard form of a circle's equation, which is: $$ (x - h)^{2} + (y - k)^{2} = r^{2} $$ where $$(h, k)$$ is the center of the circle and $$r$$ is the radius. From the given equation $$x^{2} + y^{2} = 25$$, we can see that: - The center $$(h, k)$$ is $$(0, 0)$$ because there are no terms subtracted from $$x$$ or $$y$$. - The radius $$r$$ can be found by taking the square root of 25, which gives us $$r = 5$$. Thus, the center of the circle is: $$ \text{Center: } (0, 0) $$

The equation of a circle is given in standard form. Complete parts a through c to follow the step by step process to sketch the graph of the circle. \( x^{2}+y^{2}=25 \) a) Determine the center and radius of the circle. The center of the circle is (Type an ordered pair.)

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The equation of a circle is given in standard form. Complete parts a through c to follow the step by step process to sketch the graph of the circle. \( x^{2}+y^{2}=25 \) a) Determine the center and radius of the circle. The center of the circle is (Type an ordered pair.)

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