Question

Circle P contains a diameter AB with coordinates A(1, 2) and B(-7, 2).

5a) State the coordinates of the center.
5b) Determine the length of the radius.

5c)Johnny used the above information for the center and radius and come up with the equation below. Do you agree or disagree with his answer? Explain.
PLEASE ANSWER I DONT HAVE MUCH TIME

Answer 1

`centre = ( (1 - 7)/(2) , \: (2 + 2)/(2) ) \\ = ( - 3, \: 2)`

`length = \sqrt{ {( - 7 - 1)}^(2) + {(2 - 2)}^(2) } \\ = \sqrt{ { - 8}^(2) } \\ = 8 \: units`

radius = 8÷2

= 4 units

Johnny was right