Question

How do you write an equation for a circle given endpoints of a diameter at (11,18) and (-13, -19)?

Answer 1

`(x +1)^2 + (y + 1/2)^2 = 1945/4`

Explanation:

`A = (11, 18) and B = (-13, -19)`

The center is `M = (A + B)/2` and the radius is `r = |AB|/2`

`M = frac{(11-13, 18-19)}{2} = (-1, -1/2)`

`r = sqrt {24^2 + 37^2} /2`