Circle Question

Question

Find the center and radius of the circle with a diameter that has endpoints (-9, 6) and (6, -9).

Answer 1

Diameter end points are---

 

(-9,6).   ,  (6,-9)

 

mid point is the center of the circle

 

Mid point coordinates are----

 

(6-9)/2  ,  (-9+6)/2

 

-3/2 , -3/2

 

Radius=

 

Distance between (-3/2, -3/2).  &. ( 6, -9)

 

=sqrt[(6+3/2)^2 + (-9+3/2)^2]

 

=sqrt[(15/2)^2+(15/2)^2)]

 

=(3/2)sqrt(50)