Question

FIND THE EQUATION OF A CIRCLE,DIAMETER AB,WHERE A=(1,3) AND B=(3,7)

Answer 1

What is the length of segment AB where A=(1,3) AND B=(3,7)?

Answer 2

Did you get 2√5 for AB ? @lissafi

Answer 3

The standard form for the equation of a circle is:

(x - h) ^2 + (y-k)^2 = r^2 where (h,k) is the center of the circle and the radius is r.

Answer 4

If the diameter is 2√5, then the radius is √5.

Now, we need the center of the circle.

Answer 5

The center will be the midpoint of the diameter A=(1,3) AND B=(3,7).

Answer 6

The midpoint coordinates of a segment are the average of the x-coordinates and y-coordinates of the endpoints, in this case, of segment AB.

Answer 7

the question just said: find the equetion of the circle satisfying the given condition.Diameter AB, where A=(1,3) AND B=(3,7)

Answer 8

Right. To find that equation, we have to know the radius of the circle.

Answer 9

Also, we have to know the center of the circle.

Answer 10

We need to know how far it is from A to B. I got 2√5. Did you check it to see if I got the right answer?

Answer 11

The midpoint of segment AB is (2,5) which means the point (2,5) is the center of the circle.