已知圆心\(c\)在直线\(x+2y-1=0\)上，且该圆经过\(\left( {3,0} \right)\)和\(\left( {1,

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已知圆心\(c\)在直线\(x+2y-1=0\)上，且该圆经过\(\left( {3,0} \right)\)和\(\left( {1, - 2} \right)\)两点，则圆\(c\)的标准方程为___.

参考答案：\({(x - 1)^2} + {y^2} = 4\)