Question

What is the coordinate of the circumference of the circle? Question 2 options: (-3, -1) (1/2, -1/2) (1/2, 0) (0,0)

Answer 1

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($(\frac{-3 + 4}{2} ,\frac{2-3}{2} )$

Center is C(0.5,-0.5) .

Radius = CV = $\sqrt{(-2.5)^{2}+(-3.5)^{2}}$

        R = $\sqrt{\frac{37}{2} }$

Equation of circle is $(x - 0.5)^2 + (y+0.5)^2 = \frac{37}{2}$

The circumcircle of triangle is (0.5,-0.5)