Find the Center-Radius Form of the Circle Described or Graphed $( - 6 , - 7 )$

question 440

Multiple Choice

Find the center-radius form of the circle described or graphed.
-a circle having a diameter with endpoints $( - 6 , - 7 )$ and $( - 1,2 )$

• A) \(\left( x - \frac { 7 } { 2 } \right) ^ { 2 } + \left( y - \frac { 5 } { 2 } \right) ^ { 2 } = 74\)
• B) \(\left( x - \frac { 7 } { 2 } \right) ^ { 2 } + \left( y + \frac { 5 } { 2 } \right) ^ { 2 } = 130\)
• C) \(\left( x + \frac { 5 } { 2 } \right) ^ { 2 } + \left( y + \frac { 9 } { 2 } \right) ^ { 2 } = 106\)
• D) \(\left( x + \frac { 7 } { 2 } \right) ^ { 2 } + \left( y + \frac { 5 } { 2 } \right) ^ { 2 } = \frac { 53 } { 2 }\)

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