SOLUTION: given A(-2,1)and B(8,5) the end points of the diameter of the circle a) what are the coordinates of the center W of the circle? b) what is the radius of this circle

Algebra ->  Length-and-distance -> SOLUTION: given A(-2,1)and B(8,5) the end points of the diameter of the circle a) what are the coordinates of the center W of the circle? b) what is the radius of this circle       Log On


   

Question 612594: given A(-2,1)and B(8,5) the end points of the diameter of the circle
a) what are the coordinates of the center W of the circle?
b) what is the radius of this circle
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
The center is the mid point
If the coordinates of A and B are ( x1, y1) and ( x2, y2) respectively, then the midpoint, M, of AB is given by the following formula
(-2,1)(8,5)
M(x,y) =%28x1%2Bx2%29%2F2 %28y1%2By2%29%2F2
x= (-2+8)/ 2y=(1+ 5 )/ 2
x= 3 ,y= 3
( 3 , 3 )
Radius is the distance from center to one of the endponts of the diameter .
Distance between two points
x1 y1 x2 y2

(3 3) (8 5)
d= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29
d= sqrt%28%285-3%29%5E2%09%2B%288-3%29%5E2%29
d= sqrt%28%282%29%5E2%2B%285%29%5E2%29
d= sqrt%28%2829%29%29
d= 5.39
m.ananth@hotmail.ca