Question

Write the standard equation of the circle graphed below.
A. Identify the center of the circle
B. Determine the radius of the circle. Use the point marked on the graph (-11, 6) in your work
C. Write the equation of the circle
Thank you!

Answer 1

What is the center of the circle?

Answer 2

on the diagram (-5,2)

Answer 3

What is the radius of the circle?

Answer 4

@Jonask Why are you answering the question instead of the asker?

Answer 5

sorry

Answer 6

The radius is (-6, 2) but it says to use the point marked on the graph (-11, 6) and I don't know why I need to do that

Answer 7

@Mertsj could you please still help me with this?

Answer 8

The radius is a length not an ordered pair. To find the radius you need to find the distance from the center to a point on the circle?

Answer 9

So find the distance from (-5,2) to (-11,6)

Answer 10

24 square units

Answer 11

didnt @blossombuttercupandbubbles1234 say radius is (-6,2) but the diagram says (-5,2)

Answer 12

sorrry not radius but center

Answer 13

\[d=\sqrt{(x _{2}-x _{1})^2+(y _{2}-y _{1})^2}\]

Answer 14

Use the given ordered pairs in the distance formula I just posted to find the radius.

Answer 15

@Mertsj I'm going to try that right now

Answer 16

ok. good

Answer 17

Distance= 7.21

Answer 18

Well, actually it is sqrt 52 and since we are going to need radius squared in the equation of the circle, we should just leave it in that form.

Answer 19

Now here is the equation of a circle:
\[(x-h)^2+(y-k)^2=r^2\]

Answer 20

is the center really (-5,2) or is it (-6.5, 2)?

Answer 21

(h,k) is the center and r is the radius.

Answer 22

From the diagram, I would say it is the labelled point which is (-5,2)

Answer 23

How do I fill in the variables? I know H and K is center so H would be -5 and K would be 2 radius r would be square root of 52 what is x and y in the equation?