A triangle has corners at (7 ,3 )(7,3), (5 ,8 )(5,8), and (4 ,2 )(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: