A HW | Cireles Questif Choose the equation of a eirele with radius 7 and center \( \left(3_{1}=5\right) \), Choose the eorrect answer below. A. \( (x+3)^{\frac{3}{2}}+(y-5)^{2}=7 \) B. \( (x-3)^{2}+(y+5)^{2}=7 \) C. \( (x-3)^{2}+(y+5)^{2}=49 \) D. \( (x+3)^{2}+(y=5)^{2}=49 \)

To find the equation of a circle, we use the standard form \((x - h)^2 + (y - k)^2 = r^2\), where \((h, k)\) is the center and \(r\) is the radius. Here, the center is \((3, 5)\) and the radius is 7, so we calculate \(r^2 = 7^2 = 49\). Now, plugging these values in, we arrive at \((x - 3)^{2} + (y - 5)^{2} = 49\). The correct answer is: C. \( (x-3)^{2}+(y-5)^{2}=49 \). But don't worry! Remember that those pesky negative signs and squaring can trip you up. Just keep an eye on your signs when plugging in the center coordinates. Happy circling!