A triangle has corners at #(7 ,3 )#, #(5 ,8 )#, and #(4 ,2 )#. What is the area of the triangle's circumscribed circle?
1 Answer
Explanation:
The vertices of the triangle are all points on the circumference of the given circle. The equation for a circle is given by:
Where
We can make 3 equations from this:
Subtracting
Subtract
From
Substituting in
Substituting this in
So we have the centre, we now find the radius:
Using vertex
Area: