Answer:
The circumcentre of the circle is (0.5,-0.5)
Step-by-step explanation:
Since this is a right triangle, UW is its diameter.
CONCEPT : The angle subtended by the diameter at the circumference of the circle =90°
Hence , center of circle is midpoint of line segment UW.
U(-3,2) and W(4,-3)
Taking the midpoint ,
C([tex](\frac{-3 + 4}{2} ,\frac{2-3}{2} )[/tex]
Center is C(0.5,-0.5) .
Radius = CV = [tex]\sqrt{(-2.5)^{2}+(-3.5)^{2}}[/tex]
R = [tex]\sqrt{\frac{37}{2} }[/tex]
Equation of circle is [tex](x - 0.5)^2 + (y+0.5)^2 = \frac{37}{2}[/tex]
The circumcircle of triangle is (0.5,-0.5)
