Question

1) What is the equation of a circle that passes through (2, 0) and has its center at M(4, 0)?

2)What is the equation of a circle that passes through point J(6, 4) and has center K (1, -8).

Answer 1

help<3

Answer 2

IM trying Im trying.

Answer 3

oh thank you so much!

Answer 4

use the distance formula to calculate the distance between the two points

the distance is the radius

do you know the distance formula?

Answer 5

no i don't ;'(

Answer 6

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Answer 7

so the distance is 2?

Answer 8

for #1?

Answer 9

correct, that means the radius is 2

Answer 10

okay so then what do i do

Answer 11

now the equation of a circle is

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

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

Answer 12

so h is 4? and k is 0?

Answer 13

correct :)

Answer 14

so my formula is (2-4)^2+(0-0)^2=4

Answer 15

oh wait!

Answer 16

you don't replace x with 2 and y with 0 :P

Answer 17

so i just fill in k and h

Answer 18

and r

Answer 19

gotcha so my answer would be, (x-4)^2+y^2=4

Answer 20

you're using the x-value of one point and the y-value of another point

you have to be consistent, and you need to use the center's point

Answer 21

Im confused

Answer 22

wouldn't that just be the equation for #1?

Answer 23

sorry, it's really late here and I don't know what I read when you posted that earlier

your answer is correct but I think you should leave it as (y - 0)^2

Answer 24

alrighty thank you, I did #2 but i just wanna make sure its correct, i got (x-1)^2+(y+8)^2=169

Answer 25

Correct! Great work! :D

Answer 26

I have one more problem i just don't know how to start it!

Answer 27

Sure, post ahead and I'll see if I can help :)

Answer 28

What is the equation of this graph? (

Answer 29

well, it's increasing by 2 on the x-axis and y-axis

the center is at (2, -1)

and a point that the circle passes through is (8, 0)

Answer 30

hmm i got my distance as 6.08

Answer 31

should i just leave it at 6?

Answer 32

i did it, and i got (x-2)^2+(y+1)^2=36

Answer 33

keep it as sqrt(37)

because that is the radius, and the equation wants radius^2 which would make it (sqrt(37))^2 = 37

Answer 34

Okay thank you so much! I got a 100% thanks to your help:)

Answer 35

Anytime! :D

Answer 36

Thank you for cooperating and learning! ^-^

Answer 37

have a good night!

Answer 38

You too! :D