Question

What is the center of the circle with a diameter having endpoints of (-3,2) and (4,2)

Answer 1

Diameter passes through the center of the circle.

Center is the midpoint of the diameter.

Endpoints of the diameter is A(—3,2) and B(4,2).

We all know the Midpoint formula,

C( x , y ) = [ (—3+4)/2 , (2+2)/2 ]

C (x , y) = ( 1/2 , 4/2 )

Therefore , the center of the circle is ( 1/2, 2 )