以点A (−5,4) 为圆心，且与 x 轴相切的圆的方程为（   ）

A：${\left(x+5\right)}^2+{\left(y-4\right)}^2=16$

B：${\left(x-5\right)}^2+{\left(y+4\right)}^2=16$

C：${\left(x+5\right)}^2+{\left(y-4\right)}^2=25$

D：${\left(x-5\right)}^2+{\left(y+4\right)}^2=25$