The equation (x-2)^2 +(y+4)^2=r^2 represents circle o. the point c(2,0) lies on the circle. what is r, the length of the radius of circle o?

4

Step-by-step explanation:

(x - 2)^2 + (y + 4)^2 = r^2

You are given a point on the circle, (2, 0).

Plug in 2 for x and 0 for y.

The only variable remaining is r.

Solve for r which is the radius.

(2 - 2)^2 + (0 + 4)^2 = r^2

0^2 + 4^2 = r^2

16 = r^2

r = 4

The length of the radius is 4.

the answer is 1 becuz if it were 1.0 that would rip apart the entire so ya. : )

~potato.

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