The equation of a circle is given below (x+9)^2+(y-46)^2=123

The center of the circle is (-9, 46), radius is 11.09053 and the diameter is 22.18, if the equation of circle is .

Step-by-step explanation:

The given is,

Step:1

                Equation of circle is,

                                            ...................(1)

                Where,

                             (h, k) - Center of circle

                                    r -  Radius of circle

                 From given,

                                           ...............(2)

                 Comparing equation (1) and equation (2),

                                        Center - (h, k) = (-9, 46)

                 Take square root on both sides,

                                                               = 11.09053

                                                             r ≅ 11.09053

                  Formula for diameter,

                 Substitute the value of r,

                                         diameter, d = 22.18

Result:

           The center of the circle is (-9, 46), radius is 11.09053 and the diameter is 22.18, if the equation of circle is .

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step-by-step explanation: