SOLUTION: Sir/Madam, please help me with this distance related question: A rectangle with vertices A (-2,-6) B(4,-3) C(3,-1) and D (-3,-4) is inscribed in a circle. Find the lengths of the

Algebra ->  Length-and-distance -> SOLUTION: Sir/Madam, please help me with this distance related question: A rectangle with vertices A (-2,-6) B(4,-3) C(3,-1) and D (-3,-4) is inscribed in a circle. Find the lengths of the      Log On


   



Question 710796: Sir/Madam, please help me with this distance related question:
A rectangle with vertices A (-2,-6) B(4,-3) C(3,-1) and D (-3,-4) is inscribed in a circle. Find the lengths of the diameter of the circle.
Thank you very much!

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
All the angles of a rectangle are right angles.
A right angle inscribed in a circle intersects the circle at the ends of a diameter.
As a consequence, the diagonals of the rectangle are diameters of the circle it is inscribed in.
AC and BD are those diagonals/diameters.
Their lengths are
AC=