Question

Line AB is the diameter of a circle with center P. The coordinates of the endpoints of the diameter are (1, 3) and (6, 6). What are the coordinates of P?

Possible answers:
(2, 6)
(2.2, 3)
(2.5, 3.5)
(4.5, 5)
(3.5, 4.5)

Answer 1

Okay if AB is a diameter that goes ACROSS the circle...that means that at the middle of that diameter...we would have the center of the circle...

So we need o find the midpoint of that diameter...
We have the 2 endpoints of that to be (1 , 3) (6 , 6)

\[\large Midpoint = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\]

Answer 2

I'm not sure of what the answer is.

Answer 3

it is b

Answer 4

Well since we have the 2 points...

(1 , 3) and (6 , 6)

We have

(x1, y1) and (x2 , y2)

So we plug those in

\[\large (\frac{1 + 6}{2}, \frac{3 + 6}{2}) = (\frac{7}{2},\frac{9}{2}) = ?\]

Answer 5

3.5,4.5 I believe

Answer 6

yea u r right

Answer 7

Correct @ikileyxx :)

Answer 8

Thank you I appreciate it!

Answer 9

Anytime :)