Question

Can someone help me answer these questions please and thank you

Answer 1

First determine what the coordinates of the center of the circle are. What are they?

Answer 2

Point K is the center; what are its coordinates? In the form (x, y)

Answer 3

(4,3)

Answer 4

@IMStuck

Answer 5

Yes ok. Good. Do you know the general equation for a circle? The formula for a circle?

Answer 6

A=pi *r^2

Answer 7

No, that's the area formula. The general equation for a circle is this:\[(x-h)^{2}+(y-k)^{2}=r ^{2}\]

Answer 8

h is the x coordinate for the center and k is the y coordinate for the center.

Answer 9

Does that look familiar to you?

Answer 10

Are you with me on this?

Answer 11

so i would put it as (x-3)^2 + (y-4)^2 = r^2

Answer 12

@IMStuck

Answer 13

so my internet was down

Answer 14

Ok, that's fine. I'm back. Let me check your equation so far. BRB

Answer 15

oki

Answer 16

Ok, here's the thing. First of all, your x coordinate for the center is 4 and the y is 3. You had them reversed in your equation. Also, you need to make the numbers fit into the formula of \[(x-h)^{2}\]and \[(y-k)^{2}\]In order to do that, take your x coordinate of 4 and plug it in in this way:

Answer 17

\[(x-(4))^{2}\]which is, of course, just \[(x-4)^{2}\]The same goes for the y, which is a -3 and needs to fit into the equation like this:

Answer 18

\[(y-(-3))^{2}\]which translates to \[(y+3)^{2}\]

Answer 19

I think originally you had the coordinates for the center as (4,3) and they are actually (4,-3).

Answer 20

oh so it would be (x-4)^2 + (y-(-3))^2 =r^2

Answer 21

So far it would be \[(x-4)^{2}+(y+3)^{2}=r ^{2}\]

Answer 22

Now we have to worry about the r, which is the radius. Do you know how to find the radius from the image?

Answer 23

no i don't

Answer 24

sorry math isn't really my subject lol

Answer 25

Ok your circle has a center of K. If you count the units up from K to the point on the brown outline of the circle, how many units did you go up? How many squares?

Answer 26

5

Answer 27

Yes, and that is exactly half the diameter of the circle, which is another name for radius! Now we take that radius of 5 and square it. What is 5^2?

Answer 28

What is 5 times 5?

Answer 29

10

Answer 30

That is 5 times 2. What is 5 times 5? That is what it means when it wants "5 squared". 5 times 5.

Answer 31

we are at the last step here, don't get upset, ok? You're doing great!

Answer 32

oh my bad i misread it and its 25

Answer 33

Yes, so now we have completed the circle's equation, and it is:\[(x-4)^{2}+(y+3)^{2}=25\]

Answer 34

thank you now can you help me find the questions on the side ?

Answer 35

@IMStuck