SOLUTION: find center, circumference, and area of a circle with endpoints: (2,-1) and (-14,-5)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find center, circumference, and area of a circle with endpoints: (2,-1) and (-14,-5)      Log On


   



Question 724410: find center, circumference, and area of a circle with endpoints: (2,-1) and (-14,-5)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find center, circumference, and area of a circle with endpoints: (2,-1) and (-14,-5)
***
midpoint of given coordinates=coordinates of the center
(x1+x2)/2, (y1+y2)/2
=(-14+2)/2, (-5-1)/2
=(-12/2), (-6/2)
center:(-6,-3)
..
radius of circle=distance from center to one of end points(2,-1)
distance=√(x1-x2)^2+(y1-y2)^2)=√(2+6)^2+(-1+3)^2)=√(64+4)=√68
circumference=2π*radius=2π√68≈51.81
Area=π*radius square=π*(√68)^2=68π≈213.63