A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Write the equation of a circle that has center (2,4) and passing through (4,1)
anonymous
 4 years ago
Write the equation of a circle that has center (2,4) and passing through (4,1)

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0r^2=(x2)^2+(y(4))^2 hold on i'll find r

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0why is it not\[r^2=(x+4)^2+(y2)^2\]?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Use distance formula to find r sqrt((delta x)^2+(delta y)^2) delta x just means difference in x which is xfxi = 42 Same for delta y

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh no wait I remember...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the formula for a circle with center (h,k) is r^2=(yk)^2+(xh)^2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0more info http://www.regentsprep.org/Regents/math/algtrig/ATC1/circlelesson.htm

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0there is no more info

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah, but those links always confuse me and then how do you find r again, isn't there some easy way?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Use distance formula to find r sqrt((delta x)^2+(delta y)^2) delta x just means difference in x which is xfxi = 42 Same for delta y

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well they tell you the center of the circle, so we know h and k

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes colorful you have it a little mixed around (xh)^2+(yk)^2=r^2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well whether you write (xh)^2+(yk)^2=r^2 or (yk)^2+(xh)^2=r^2 it's the same thing, isn't it? and the picture should be something like this dw:1337145806387:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so we want the radius r, and I think we can use the pythagorean formula from geometry to figure out how long it is...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes now i just have to write the equation

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i think we use d formula

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well you only need to find r now we already know the rest just plug in the numbers for h and k into (xh)^2+(yk)^2=r^2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0radius would be 5 i think

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0we still gotta find r though is it 5 ? let me check...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so final answer (x2)^2+(y+4)=5

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0think thaty is right does that 4 become positive on the y

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1337146127268:dwI don't think the radius is 5 why do you think it's 5 ???

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0d=square root of 42 +1(4) square root of 2+3 Square root of 5

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[d=\sqrt{(42)^2+(1(4))^2}=\sqrt{2^2+3^2}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0im coming up with (x2)^2+(y+4)^2=5 will someone verify or tell me where im wrong

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0good thinking colorful i did that before

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but it doesn't give 5...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0which in my notes we had sqrt 18 we put radius as 18

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0um... don't know what to tell you about that, sorry :(

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0maybe there's a typo, or you copied something wrong?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so answer would be (x2)^2+(y+4)^2=13

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thank you colorful for helping and pointing out mistake

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0no problem :D welcome!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0A Mathematica version of the solution with comments and a plot is attached.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.