What is the diameter of a circle with the equation (x + 6)2 + (y − 4)2 = 16?

A) 4
B) 8
C) 16
D) 32

The diameter of the circle is 8, which is mentioned in option B, if a circle equation is .

Step-by-step explanation:

The given is,

                   Circle equation is .

Step:1

                 Equation for circle is,

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

                  Where,

                                (h, k) - Center point

                                      r - Radius of circle

                   Given equation,

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

                   Comparing equation (1) and equation (2)

                                                    (h, k) - (-6, 4)

                                                          - 16

                   Take square root on both side,

                                                         r = 4

                   Formula for diameter,

                                                           = 8

                        Diameter of circle, d = 8

Result:

           The diameter of the circle is 8, which is mentioned in option B, if a circle equation is .

do your own work and don"t cheat.

step-by-step explanation: