Please help me find the center and the radius of the rotary?

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Answer 1 · 2018-05-18T08:34:55

Answer is #(C)#

As endpoints #(-3,5)# and #(5,11)# form a diameter,

center is their mid point i.e. #((-3+5)/2,(5+11)/2)# or #(1,8)#

and distance between endpoints is diameter and its length is

#sqrt((5-(-3))^2+(11-5)^2)#

= #sqrt(8^2+6^2)=sqrt(64+36)=sqrt100=10#

and radius is #10/2=5#

Hence, answer is #(C)#