Circle O with diameter CD: C (-14,-8) and D (2,4). What is the equation of circle O?
+130516 Let us find the mid-point of the diameter...this is given by
[ (-14 + 2)/2 , (-8 + 4) /2 ] = (-6, -2)..... and this is the center
And we can find the radius by
√[ (-6 - 2)^2 + (-2 - 4)^2 ] =
√[(-8)^2 + (-6)^2 ] =
√100 = 10
So the equation is given by
(x + 6)^2 + (y + 2)^2 = 100
+130516 Let us find the mid-point of the diameter...this is given by
[ (-14 + 2)/2 , (-8 + 4) /2 ] = (-6, -2)..... and this is the center
And we can find the radius by
√[ (-6 - 2)^2 + (-2 - 4)^2 ] =
√[(-8)^2 + (-6)^2 ] =
√100 = 10
So the equation is given by
(x + 6)^2 + (y + 2)^2 = 100
