Question

PLZ HELP ASAP CIRCLES

Answer 1

First we need to convert the given equation to standard form, then we can write the center and radius directly from it.


`x^(2) -16x+ y^(2) -36=0 \\ \\ x^(2) -2(x)(8)+ y^(2) = 36 \\ \\ x^(2) -2(x)(8)+ 8^(2)+ y^(2) =36 +8^(2) \\ \\ (x-8)^(2)+y^(2)=100`

Thus, we can say now:

Center of the circle is (8,0) and its radius is 10.