Question

What is the equation of this circle with the end points of the diameter are at (-4,-1) and (0,-4)?

Answer 1

`( x + 2 )^2 + ( y + 5/2 )^2 = 25/4`

Explanation:

The midpoint of the diameter is the center C.
So, C is `( (-4 + 0 )/2, (-1-4)/2) = ( -2, -5/2)`.
`Radius = (diameter)/2 = .sqrt( 16 + 9 )/2 = 5/2`
The equation is `( x + 2 )^2 + ( y + 5/2 )^2 = 25/4`