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in this video were going to talk about how to find the center and the radius of the circle given the equation shown below so the first thing you need to be familiar with is the standard form for the equation of a circle its x minus h squared plus y minus k squared is equal to r squared now the center of the circle can be found by this equation all we need to do is identify the values of h and k and the radius of the circle is simply r so whats h and whats k in this problem h is the number in front of x without the negative sign so if you see a minus 3 here reverse it h is equal to positive 3. k is the number next to y so we have y minus four were going to switch negative four to positive four so k is four thus the center of the circle is three comma four so thats how you can find the center of a circle if youre given the equation in standard form now to determine the radius we need to focus on this number this is the same as r squared so if r squared is equal to 25 what is the v