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For the circle with equation (x-2)² + (y+3)² = 9, what are the center coordinates?

User Rakeshbs
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Answer:


\large\boxed{(2, -3)}

Explanation:


\textsf{We are asked for the Center Coordinates given a circle.}


\large\underline{\textsf{What is a Circle?}}


\textsf{A Circle is a curved shape that is commonly used to present a equidistant (same}


\textsf{distance apart) from a Center point.}


\textsf{When we create an equation for a circle, we should keep in mind of what the}


\textsf{coordinates of the center point are, and the Radius. For this problem an equation}


\textsf{has been given to us.}


\boxed{\begin{minipage}{20 em} \\ \underline{\textsf{\large Equation of a Circle (Standard Form);}} \\ \\ \tt \tt (x-h)^(2) + (\tt y-k)^(2) = r^(2) \\ \\ \underline{\textsf{\large Where;}} \\ \textsf{h represents the x-coordinate of the center.} \\ \textsf{k represents the y-coordinate of the center.} \\ \tt r^(2) \ \textsf{represents the radius of a circle squared.} \end{minipage}}


\textsf{*Note that if we are given the formula, the radius is already squared, unless}


\textsf{specified in the directions.}


\tt (x-2)^(2) + (y+3)^(2) = 9


\textsf{Our main focus should be h and k. Notice how both point values are negative.}


\textsf{The Center Point is represented as the opposite given to us in the formula.}


\underline{\textsf{Find the Opposite of -2 and 3;}}


\tt -2 \rightarrow \boxed{2}


3 \rightarrow \boxed{-3}


\underline{\textsf{Center Coordinates;}}


\large\boxed{(2, -3)}

For the circle with equation (x-2)² + (y+3)² = 9, what are the center coordinates-example-1
User Hisham Muneer
by
8.4k points

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