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Question at position 24
The equation below describes a circle. What are the coordinates of the center of the circle?



(x - 6)² + (y + 5)² = 15²

Answer 1

The equation of the circle is given in the standard form \((x - h)² + (y - k)² = r²\), where \((h, k)\) represents the center of the circle and \(r\) is the radius.

From the equation \((x - 6)² + (y + 5)² = 15²\):

• The term \((x - 6)\) indicates that \(h = 6\).
• The term \((y + 5)\) can be rewritten as \((y - (-5))\), indicating that \(k = -5\).

Thus, the coordinates of the center of the circle are:

\((6, -5)\).