Given that \[\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C}\]and that \[\overrightarrow{C}\] is \[\bot \] to \[\overrightarrow{A}\]. Further if \[|\overrightarrow{A}|\,=\,|\overrightarrow{C}|,\]then what is the angle between \[\overrightarrow{A}\] and \[\overrightarrow{B}\]

• A.        \[\frac{\pi }{4}radian\]
• B. \[\frac{\pi }{2}radian\]
• C.        \[\frac{3\pi }{4}radian\]
• D.        \[\pi \,\,radian\]