Question

Write the equation of the circle graphed below.

Answer 1

Your equation is
`(x - 1)^2 + (y +1)^2 = ((1)/(2) )^2`

Explanation:

Well, the center origin of the circle is given (h,k) = (1,-1).

We have to find our radius as they gave us a point. from origin to the edge of the circle.

Using the formula: (x - h)^2 + (y - k)^2 = r^2

Plug in our (h,k) = (1,-1) and (x,y) = (0.5,-1) to solve for radius.

(x - h)^2 + (y - k)^2 = r^2

(0.5 - (1))^2 + (-1 - (-1))^2 = r^2

(-0.5)^2 + (0)^2 = r^2

1/4= r^2

r^2 = 1/4

r = 1/2