A triangle has corners at #(2 ,4 )#, #(6 ,5 )#, and #(3 ,3 )#. What is the area of the triangle's circumscribed circle?
1 Answer
See the answer below...
Explanation:
Suppose the circumcentre of the triangle is
$1st STEP$
Hence the distance of the point of the circumcentre from the corners of the triangle will be same...
So we can write ,
[Squaring each part and removing
Hence we get equations ...
From these equations we get
Similarly we get the value of
Thus we can determine the value of the radius of the circle...
Hence the area of the circle is