A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Which of these points lies on a circle centered at A(3, 3) and passing through B(6, 5)?
C(1, 6)
D(6, 0)
E (0, 3)
F(3, 1)
G(3, 6)
anonymous
 one year ago
Which of these points lies on a circle centered at A(3, 3) and passing through B(6, 5)? C(1, 6) D(6, 0) E (0, 3) F(3, 1) G(3, 6)

This Question is Closed

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1I think the easiest way to approach this, would be firstly to apply the distance formula between A and B (since B lies on the circle and is not the centre, it must lie on the circumference) so by finding this distance, we can determine the radius

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1do you remember the distance formula?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1not quite, thats the circumference formula, we want the distance between two points

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1so the equation you want to use is \[d = \sqrt{(y  y1)^2 + (x  x1)^2}\]

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1yup, so apply that and tell me what you get for the distance

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1yup, thats correct! but as a general rule, when we get square roots and stuff, you're better off keeping your answer in exact form, so just stick with √13

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1btw do you remember what the general equation of a circle is?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1okay so the general equation of a circle is (x  {x coordinate of centre})^2 + (y  {y coordinate of centre})^2 = radius^2

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1and we have been given the centre, and had recently worked out the radius, so try subbing in the info we now have, and show me what you get

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1umm, not exactly, so we sub in the stuff we now know to get, (x  3)^2 + (y  3)^2 = (√13)^2 so (x  3)^2 + (y  3)^2 = 13 do you follow?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1okay, so now we can try subbing the points given as options into our equation, to see which coordinates satisfy it.
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.