 In this video, we provide the solution to question number four for the practice exam number one for math 1060. And we're asked to find the equation of the circle whose center is at four comma negative six at whose radius is equal to seven. So we need to know the general formula for the equation of a circle. It'll always look like x minus h squared plus y minus k squared. And this is equal to r squared. So let's understand the formula here. H and k are the coordinates of the center of the circle, h being the x-coordinate and k being the y-coordinate. This point is provided to us. So h is four and k is negative six. Do notice that these are negative signs here, negative h and negative k. So you'll see the opposite sign of what you see in the point above. So you're gonna look like x minus four because you see a positive four right here. And then you're gonna get y plus six squared because you see a negative six right there. Get the opposite sign. And then on the right hand side, you're gonna square the length of the radius that's provided to us, which is a seven. So if we square that, we'll end up with 49. So the correct answer would be x minus four quantity squared plus y plus six quantity squared. And this is equal to 49. And so we select choice B as the correct answer.