Find the Center-Radius Form of the Equation of the Circle $( - 5,1 )$

Multiple Choice

Find the center-radius form of the equation of the circle having a diameter with endpoints $( - 5,1 )$ and $( 3,7 )$ .

A) $( x + 1 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 25$
B) $( x - 3 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 100$
C) $( x + 3 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 10$
D) $( x - 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 5$