Question Find the center and radius of the circle represented by the equation below. \[ (x+8)^{2}+(y-1)^{2}=169 \] Answer Attempt 2 out of 2 Center: Radius:

To find the center and radius of the circle in the equation \( (x+8)^{2}+(y-1)^{2}=169 \), we can refer to the standard form of a circle given by \( (x-h)^{2}+(y-k)^{2}=r^{2} \), where \( (h, k) \) is the center and \( r \) is the radius. From your equation, we can see that \( h = -8 \), \( k = 1 \), and \( r^{2} = 169 \). Thus, the center is at \( (-8, 1) \) and the radius is \( r = \sqrt{169} = 13 \). Having fun with circles, did you know that the largest circle ever created was Guiness World Record's "Circle of Life" painted in Sydney, Australia, spanning a whopping 75.5 feet in diameter? This unique artwork represents regeneration through nature's seasonal changes. If you ever need to sketch a circle, remember this nifty trick: always start by marking the center point and then use a compass or a simple string tied to a pen. By keeping the string tight, you can draw a perfect circle every time! And, if you’re doing it freehand, just try to keep your wrist steady, making smooth, even motions around the center.