Find the length of the radius of the given circle.

(x - 5)2 + (y + 3)2 = 25

Question

Find the length of the radius of the given circle.

(x - 5)2 + (y + 3)2 = 25

radar · Answer

An understanding of the circle equation is required to solve this problem.

anonymous · Answer

I personally need more of a visual. But I don't think you can put one on here, can you?

radar · Answer

The value to the right of  the equal sign, is all that is needed to solve what is asked.
25 is what squared?

anonymous · Answer

625, right?

radar · Answer

However a complete understanding is needed to locate the center. (whiich was not asked)

anonymous · Answer

these are the chooses they give me 
(5, 3)
(5, -3)
(-5, 3)

radar · Answer

x^2 = 25   what is x?

anonymous · Answer

now I'm confused. I never could figure out what the ^ sign meant.

radar · Answer

625 is 25^2, but my wording was not specific, I should of said "what squared is equal to 25?"

radar · Answer

It indicated to what power the variable is raised.  x^2  is x squared or x to the 2nd power, while x^3, means x is cubed or raised to the 3rd power.

anonymous · Answer

oooh okay. so ^ means the number is squared?

anonymous · Answer

(x - 5)^2 + (y + 3^)2 = 25

radar · Answer

Yes, if a 2 is next to the ^, x^2   means x is squared.

anonymous · Answer

oh okay. lol now you're helping both of us because I could never figure that out.

radar · Answer

The answers contain more information than was asked, The value 5 is the distance of the radius

radar · Answer

The value 3 is the offset of the y axis.  Now revealing the complete formula (equation) for a circle:

$$(x-h)^{2} + (y-k)^{2}= r ^{2}$$

radar · Answer

h is x offset, k is the y offset, by offset I mean value of the displacement from the origin.

radar · Answer

So the best answer is 5, -3, however I feel there is a typo, as the y offset was not asked for.

anonymous · Answer

they were supposed to ask for it?

anonymous · Answer

isn't the y offset 5?

radar · Answer

I don't know, it is difficult to speculate on the instructor's intention.

radar · Answer

The x offset is 5, so the origin is at (5,-3)   My guess they are asking for the location of the center of the circle and not the length of the radius..........probably a typo.

anonymous · Answer

hmm okay.

radar · Answer

@adrian1220 Please review that problem, and determine what are they asking for.