A circle in the -plane has the equation . What is the center of the circle?

Identify Standard Form: Identify the standard form of the circle equation and compare it with the given equation. Standard form: (x - h)^2 + (y - k)^2 = r^2 Given equation: x^2 + y^2 = 36 Rewrite as: (x - 0)^2 + (y - 0)^2 = 36Determine Values: Determine the values of h and k from the comparison. From the rewritten equation, h = 0 and k = 0.Conclude Center: Conclude the center of the circle based on values of h and k. The center of the circle is (h, k) = (0, 0).

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A circle in the $xy$ -plane has the equation $x^2 + y^2 + ax + by + c = 0$ . What is the center of the circle?

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Algebra 2

Find the radius or diameter of a circle

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Q. A circle in the

xy

-plane has the equation

x^2 + y^2 + ax + by + c = 0

. What is the center of the circle?

Identify Standard Form: Identify the standard form of the circle equation and compare it with the given equation. $\newline$ Standard form: $(x - h)^2 + (y - k)^2 = r^2$ $\newline$ Given equation: $x^2 + y^2 = 36$ $\newline$ Rewrite as: $(x - 0)^2 + (y - 0)^2 = 36$
Determine Values: Determine the values of $h$ and $k$ from the comparison. $\newline$ From the rewritten equation, $h = 0$ and $k = 0$ .
Conclude Center: Conclude the center of the circle based on values of $h$ and $k$ . The center of the circle is $(h, k) = (0, 0)$ .