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

The circumcentre of the circle is (0.5,-0.5)

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(
`((-3 + 4)/(2) ,(2-3)/(2) )`

Center is C(0.5,-0.5) .

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

R =
`\sqrt{(37)/(2) }`

Equation of circle is
`(x - 0.5)^2 + (y+0.5)^2 = (37)/(2)`

The circumcircle of triangle is (0.5,-0.5)