A triangle has corners at #(5 ,7 )#, #(2 ,1 )#, and #(3 ,6 )#. What is the area of the triangle's circumscribed circle?
1 Answer
Jan 9, 2018
The area of the circumscribed circle is
Explanation:
To find the area of the triangle's circumscribed circle, we need to find its radius.
[Step1] Find the equation of the circle.
The equation of a circle is the form
Substitute the coordinate of the three vertices.
⇒
⇒
⇒
The solution for [1],[2] and [3] is
Then, the equation of the circle is
[Step2] Find the area of the circle.
The equation tells us that the radius of the circle is