A triangle has corners at #(9 ,1 )#, #(4 ,6 )#, and #(7 ,4 )#. What is the area of the triangle's circumscribed circle?
1 Answer
Dec 24, 2017
Explanation:
One way to solve this problem is as follows.
The vertices of the triangle are, also, points on the circumscribed circle; this allow us to use the Cartesian equation for a circle,
where
After a lot of non-linear algebra, you can verify that
The formula for the area of the circumscribed circle is:
Substitute