Question

What is the equation of a circle with diameter AB that has endpoints A(0, 0) and B(8, 6)?
WHOEVER ANSWERS GETS A MEDAL

Answer 1

First you need:

the distance between (0, 0) and (8, 6). Use the distance formula.

The midpoint between (0, 0) and (8, 6). Use the midpoint formula.

Answer 2

is the distance 10?

Answer 3

Yes

Answer 4

and the midpoint 4,3

Answer 5

(x - a)^2 + (y - b)^2 = r^2

Your centre (a, b) is (4, 3).

Your radius r, is half of the diameter 10.

Answer 6

so would it be (x - 3)2 + (y - 4)2 = 5 or (x - 4)2 + (y - 3)2 = 5

Answer 7

look at the a and b: your centre (a, b) is (4, 3)

And it's r^2, not just r.