Question

Find the center of a circle whose end points of a diameter are A (-5,6) and B (3,4)

Answer 1

Answer:

(-1, 5)

Step-by-step explanation:

The center of a circle is the midpoint of the diameter.

So we have to calculate the midpoint of the diameter, using this formula:

midpoint = (  $\frac{x_{2 }+x_{1} }{2}$  , $\frac{y_{2} + y_{1} }{2}$ )

               =  ($\frac{3 + (-5)}{2}$  ,  $\frac{4 + 6}{2}$  )

               = (-1, 5)            

∴ The center of the circle lies at the point (-1, 5).