A triangle has corners at #(5 ,8 )#, #(2 ,7 )#, and #(7 ,3 )#. What is the area of the triangle's circumscribed circle?
1 Answer
Mar 5, 2018
Explanation:
Let the center of the circum-circle be
Since this circle must pass through the three vertices we have
From
so that
Similarly,
Solving the two equations simultaneously gives
This leads to
so that the area of the circumscribed circle is